Rechnen mit Vektoren

Vektoraddition
Im letzten Kapitel haben wir uns mit dem Zusammenhang zwischen Punkt und Vektor beschäftigt, insbesondere mit der Defienition eines Vektors durch Bildung der Differenz der Koordinaten zweier den Vektor erzeugender Punkte (Fuß und Spitze des Vektors).[br][br]Wenn Sie nun 2 Vektoren addieren möchten, wie gehen Sie vor?[br]a) grafisch[br]b) rechnerisch
Vektoradditon - Definition
Notieren Sie auf einem separaten Blatt das Rechengesetz für die Vektoraddition und überprüfen Sie dann unten.
Multiplikation mit enner reellen Zahl - s-Multiplikatio
In ähnlicher Weise wie die Addition zweier Vektoren wird die Multiplikation eines Vektors mit einer reellen Zahl (mit einem Skalar - einer Zahl) definiert: Jede Komponente des Vektors wird mit der reellen Zahl multipliziert:[br][center][img]data:image/png;base64,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[/img][/center]
Rechengesetze und Algebra für Vektoren
Für Vektoren gelten die gleichen elementaren Rechengesetze wie für Skalare, für Zahlen:[br]Kommutativgesetz, Assoziativgesetz, Distributivgesetz, Multiplikation mit 0, inverses Element gelten in der gleichen Weise wie für alle Skalare.[br][b][center][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtMAAAFSCAYAAAAw8FPRAAAgAElEQVR4nO2d67GrIBSFbYEabMEeLMEabMEO7CAdWIEV2IAN2AE9cH/cWZ7tDiC+EpOsbyYz9+YYQJ6LzQYyRwghhBBCCNlF9u4EEEIIIYQQ8qlQTBNCCCGEELITimlCCCGEEEJ2QjFNCCGEEELITiimCSGEEEII2QnFNCGEEEIIITuhmCaEEEIIIWQnFNOEEEIIIYTs5GPEdFEULssyV1XVu5NCCCGEEEKIcy5RTD8eD5dl2dPHGOOqqnLDMFydzjnOsiwvj4sQQgghhJAUksR027ZeMS0/Xdddm1CK6U3ICdA4ju9ODiGEEELIV7JZTEsrtBRsxpjLEukcxfRWQmVGCCGEEELO45CYds65siznv10JxfQ2KKYJIYQQQq7nsJjGxkCfmO77fiG28zx3bds6a+3Ts13XLcIqisL1ff+XUCGmh2FYhFvXtTfMlPinaVq4Q7Rt6/I8n63tbds+hTsMg6uqKujyIt0qxnF0VVU5Y8wcZl3XbpqmRZjTNLm6rufnkFZNSnj4m/5g86bME/2RWGtdXddzfiAMnzhHmNwgSgghhJBfYreYttYu3Dy0xTjmZ10UxeLZpmlWxZ10J/E9tzf+YRhWw5aiVj6/JqZjzxpjZgFsrQ3GLYVranhrYjo2EQCxNGVZtpjoyPK5eoWCEEIIIeROnLIBsSzLoLW3qqr5b1J8Y8OifLYoilkQdl238MPWotBa66y1C2s2ROyW+LVAhXAex3Fh/QUQonmez2mt6/rpOefcbNGVzw7DMIdb17Vz7r8F3Zcv2gqcGp4us5ibh3z/pmnm7/FO8vfTNM35nef5IhxapgkhhBDyixwW00VRPLlYyOe1O4O2kspntbXT9ztt1faJxi3xh8Skc35/cHwXslb7rNL6pBOEAfEtn62q6inNW8ML5YvGWrtwaZHliN9Kga7D5SkhhBBCCPl1drt5xFw8Yj65+jepGxhDcfnStiV+KVK1j7IvbTHLtHwu5ThB+by0sGPSICcXW8NLEdPSvUbGleLKsmbxJoQQQgj5BQ5tQJRiM/R96OPbDBdN6Mli2meZThHTMaEpLdsp4ldakuGDLjf7ZVnmHo/HrvDWxLS2hof+FvvQMk0IIYSQX+eQmJa+vlKQSYunz2VBErKOPiV0g5jeEv9WMQ0rdJ7n0ZM3fH7QqUg/aLzv1vDWxHTIvcO5/8Iev9VuHoQQQggh5I/DR+NJS6rcFCdFtjy1AkfgIRz5rNyAOAzDwj96i5jeG3+KmNYW4xDyNAwZn3P/hXFVVXN8j8fDlWW52ECJfMX7bgkPYer3QvgpfurSD1uK93EcXdM0QdcebkAkhBBCyC9xWEzLv4VOg/B9ZDgpR7VtEdNb4t8qprVvs5wI6POuu66LpkGK6dAzUrSnhufc8kQTnXcp+SJPM/F9dDn4yowQQggh5NtJUj5S7Gk/2WmanlwSQNd1C0FqjAle+iEvS0FY0mqKv2nLpxSYOm0p8UvRqa3NviPvYsLXlwe44EUK07IsF9Zea+3q+28JT76/DBNiOyaSdd7oS1uKovBevEPLNCGEEEJ+EZoRNyCt2FJ4W2tfdq06IYQQQgi5D1R+G5AuJdKlYhzHxYY+QgghhBDyG1BMb8Dnh6w/W0/uIIQQQgghnwvF9EZ8PssxX3BCCCGEEPK9UEwTQgghhBCyE4ppQgghhBBCdkIxTQghhBBCyE4opgkhhBBCCNkJxTQhhBBCCCE7oZgmhBBCCCFkJxTThBBCCCGE7IRimhBCCCGEkJ1QTBNCCCGEELITimlCCCGEEEJ2QjFNCCGEEELITiimCSGEEEII2QnFNCGEEEIIITuhmCaEEEIIIWQnFNOEEEIIIYTshGKaEEIIIYSQnVBME0IIIYQQshOKaUIIIYQQQnZCMU0IIYQQQshOKKYJIYQQQgjZCcU0IYQQQgghO6GYJoQQQgghZCcU04QQQgghhOyEYpq8FWutK8vSjeP47qQQQgghhGyGYpq8nXEcXVEUru/7dyeFEEIIIWQTFNPkJWRZlvQhhBBCCPkkqF7I26FlmhBCCCGfCsU0eSv0mSaEEELIJ0MxTVb5VMH7qekmhBBCyOdAMU2SOMMVYxiGhX/0NE0nptAPXUgIIYQQciUU04K2bV2WZT9vybxyk+A0TS7LMpfn+Ump/ePTNjdmWeaqqnp3Mrz42sKntI+t6bxzOXwjKJ8sy1xZlq4oikU7zfPcFUXhyrJ0j8fDWWvfllYYAB6Px9vSsIa11lVVNedf27abw/iE99SUZemMMe9Oxql8Sh9LnklSGBBAoY8ueGOMK4rCOfffMphlmavr+lBC+75PCqdpGpdlmRuGYXMcqMh7fvvtnGnhfaV4ubNlGmLijvjawtnt4/F4rE6A9gwqW9N553L4VlBGzv0JOef+C8OmaVzXdW4YBlcUhSuK4m2CGmnbI1BfBYR0XdeubVvXNM3mMD7hPTVlWZ5uJKnr+qkPMsa4uq5fInCpQT6XpJqIhpbnuWvb9umjO7orxLS11hljVmeieZ7vnq2mVmS80yd1PEc40/f4lRaQu/tM31nEvUJMj+Po7U/atnXGGIrpGzKOo6vr2uV57p38pOajFNDy3yDPczdN09zvv8tiGhKZxpjb1Jksy+bxdi8U08swMTFp23b+zhhz+VhCMZ0OjDF3yatNYvrdnQdmjSEr41HhnlqRP7HjuQvsLP64Q5sK8QoxHaLrukN5QzF9DSiXpmkO73dYE9NlWc79a13Xb3PDCfX1d6kzWDU+mpZPHNOuFNO670CfctQouAbHx3TullcfJabXXD3g4rF3SZ9i+nqwJEnuMyD7eJeYlitQewUbxfT5TNPkjDGnidotYnqv68IZ3F1MnzU2f+KY9kox/SoNdDeBeGfullenimmY3X1Lcr7NAsgMLMfDlSQGln99PnQhF49pmlxd1/Nv4QOlw/AVjraShZY35Ttba13btotni6JwXdc9pS0lD4ZhWGwwgbuNBp0hfA1j7xrDWrvIL8SHpa8jyOVRmUdnzPiR73JDU57n3nzXafLVm5BLytZ8ls/hXa21yZ0z4uu6bi4T+U6++lZVlXdJ8khbCHVeW+JfA6tPvj6k67q5jcTagUyndBkJ+c6HyqHrukW5xX6/t93JtmaMmfO267o5P7cKWF955HnuqqraPUGBoeKsZe4UNw/U8aIokgZM3W/pj0x7ap3VItPnU+sro1fUHdkW5EeWsR47ELauByExPY7j4vfyo/vM1HGqLEtXlqWbpmnxfKzPks/BdS8kplPTEctTXd9gyPO1xS3x9X0frRdb+y7nrqtrun1s0TuhsvQ9p+vi2hgV28OHOEN9gB5XUsfDFE4V06gIoQakKz6eL4piroBrAwc6My2Q4OKhLRjjOM4DVdM0cxyI15ceNCS8t9wA03XdnAZYT9q2nQvRWjtXVPy9aZqgaFzLA4h56a+O8PW7IhwZN/6fKlaRX3mez/mAvM2y/VZ/5/4aAfIE4WOgPuIXOU2Ty/N8ke5Unyq8myZmlUrNZ4SB+oe6gPqQKqZl+Nig5dyyvmGyI8WZ7KiOtIXQd1viX0O2Nw3KsiiKuR0gD3X5IJ3yXVHHtNhA/upy0G1ctmHdBo60u6qqXN/3i7ZR17Xrum63vzDyH+U0TdOcnr2cfXJCSExjA2Ke585a67quW50MyzTKeoj/o86gD99SZ3UfAJGj+2RZJ15Vd+RYJNMixyrZ98j2rv1/fX2dXCXC7+UET9bLLeNUWZaz4UuOefi9BGmQZVUUxZwuXae3pMOHT0z3fT/HpceSLfH56g3yUz+T2nddVdeQDjyHeIwxQb2z1pbwHjqtMk9TxyjZvqV/u6z7+E6+p6yzW8bDFA5vQJQd3V4xjY5zS1q06A5ZTjAI6O8xOPvSPwzDnNG+neSxJbGQb5W1dq7kvuPGfHmAjsSXBhS6rKxocNpqiXhT8hgdlW60KL8ju+pl5+7ryI8soSHdvnDX0rxHTKfms69zlkdZpYrp0GQD9Sc0uZT1cG9bSPkuJf41fO0DoE1KYN0PTQR0u8F7+iahshxQ7qE2rAf8M9od8ssYkyweQ/jqFaxRezl7w51PTONT17UbhsE9Ho9kS3iovsXGnZQ6u9XN49V1J9R3SiEcau9yDPW9p69fQLgyvq3jlBRBvmd9ltrQhFmW7dZ0+AhZ+32rI1viQ1/lG+d9/W5K33VlXcNER3K0/8eRlzGOjlE+4KKm494SVwqbxLTvIxvVXjG91drpK3xf5ZGD7TAMi4+vciI9j8cj2EhkfvjeM9YJIk75u1geSB9xnX7fZsxQB596XCDEbui9jp4NjXTo8I+K6Vi6U9gjplPyOST25N+2WKZ9YMat64e28u5tC2tiOjX+NRD2Vt/YWL/iG/x8ea6/kysl+p3wvrJ9H213zv3V4TN8kmH1O/PkgVD/HxsPYvjENNw05EpYav1BGLofRV2QebGlzu7tA15Vd0J9p9ws6kNbdX3vibzTY5lepdg6ToXcMxCOTIMvz/Tf9qbDR2x1Q6dhS3ypY9SWvuvKuuarO6gj0qizpS35Jku+dzwyRvlAGWo3ry1xpXALN4+UwUaCwsfMIeTiEZsE4CMHL7nEoiuNL1zfe8YGAN9MMpYHcvYd+sg0hsooNZ/RMHw+TDrdewh1jKlniK+Fu9cf9CwxHXITCrWbLWI6Fkbsg0Fvb1tYE9Op8ceQF/nELHHTNM1LcfC79C31xuq7Ly/1dyHrlPzIjvlou3Pub7n2DAGM9oS6e8YZza+wTOPfOBYP7TplkhwaA3zuLVvq7NY+4NV1J9THrBmqkE70mTHLtAzDJ+q2jlMxX2edhlDf7AtnazpiYfr6vZArREp8qeW5pe+6sq75LLkh0Z3alsZxnI2NeZ4/Xch0xhilCQnjrXGl8JFiGh0nXhaFHNpU4Zt94CN/I5csQktkMtxXiWnfzBeflJlnaj7ryg8wqz6y/ByzxOrJ0VbQOPcS6rA/SUyH6gfq7962kCqm1+KPgb4hZjVCHQx9JGeJaZ/FB5+1MNfSoTnq06yRG7TyPD8s0l/lM424MNDCyp7qoob+UloVfW49qXV2r5h+Vd25Ukyjz/b5TPtcMVLHqavFdGo6YmHqfPetOG+J70oxfUVd0/7NmOxrbbO1/8c+CKRdaqwzxigJ3Dt8RpqtcaVwyWkeV4tp55aVO+SLs/UMTpkevHOsIHzvGTttxHfaSSwPtrovnCGmfb53yOsjZ8vG8mzLgOljSxn78Fk3nTsups908wg9pzewhDjSFmLfpcYfItW9QZ5isjYwHxXTGDhS+6Wj7W5LXdiKzz92DyGDxV5iYnoYhrk/iPUbvvDkhTKhUxW21NmtfcCr605obF5bqtYnGPnes23b+XSD2KkSW8epLWJ6i5vHUXc/mTad775N8lvii2kjyZa+66q6Bl/wqqpWT/040v/rvv+MMUoSKss9caVwqphemyWfKaZlZ6EruQSF7YsDu+hD6UEc+n20ZVyCCq4bTUiUxvIABR4Smr4j284W003TzJv7jhBatUjtZGIcbRS+RodryI+Iaef8m+r0iS9rxJ4L1Te8gy8te9pC6Lst8Wu2nCntm5TgBJezxXTs0hhYVtbCXEuHxOcrGsLn/yfD8aXjjEHj1edMSyFcVdVqHfH5RofYUmdDYjp0nOar605ozI2NHehz1zZalmWZdDjA1nFqi5gOHZUpjyjcmw4fIQEmXdH2xBdzZUvdVPeqfgrlkJJfR/t/raO2jFGxo5hT/J63xJXC6Ze2yCO/sNQGU/uZYlqfNRh6caQdnUfbLo9K8Z2sIdMDp3ldKJip4+gazNYx6Mg8aJrGez5wSh5IP24steFIGd2ZH+2YpfDDZiAsyaATQf6B2MRCgk6qqipnrXXWWm+nLkHerw2QugNERxLaQKrRR0ihvM4Q0xBKobCPiml5dBTqG/yKdUdztC34vtsSfyi/5HF3+oO4UMZy2TF0PNZRMS3jkycYIU5d14+2uy2XTcWsLdJNDZwxWQVyU9tRtxGk1Tm/iIKrHfqK2IZwGYb+FEXhmqZZ/G5Pm9H5h2erqnrqE19Zd2JjM+qVHDuQNp2XIcu0L0/hhuNLb8o4tUVMy/EUfZY8Vi/U9lPS4SPWvuRmuz3xoTx8x+jp8FL7rivqmmwf8pPn+bxBGGxpS0gTnvG5DG0Zo+QJSHhv6ECpz+R4IvvGLXGlkCSmUwWTc88HrOPwblgXJFusCT7kALuWfsSPzK+q6qnC+tIjrYjy+77v58ogz3RFHujLA3zxpeYBLE66UvvOy/WVUWo+yw0C8igg/N63bJo60cKlNXrJMOYnHevYJPKouVj+xHg8Hk/Lw6j3vhWALfms6woG91RL31rbw8RHHoZflqU3b4+0hdD7bYnfF0fsg/qGOJBubGDBUvRa2mN5GStPfRlC2z5v6Dva7lDPtxxd6XsWE1/Z7yDNZzEMw6L++ITWGrFy962kpISPvktPzFB+elUjtc6GrHTSJ93391fVnbWxWV/ogb4t5Lqo3Ri0AJLnGGsDU+o4FfK/T81rXPTh0xRb0uEjZsAJuXVsiU+KSF+d29p34Tdn1jVr7VxGsi3JM8rlu6W2Jd1vhC6XSR2jkHY5JuCdU/unLXGtwXudySHQwRy5cCVEqjWBkF8AwunoOdTfCAbEFN9akkboBJcrffzJ+4lddrbluM9fgz0MOQRubjzj+C0J3COuEOmEfCK4LZE8A8uURu5VIenIDZ0aTOoopr8TfdKLBNZpiuln2MOQ3aDDvWKAL8vy0I1thJDfQV6rrX1XfUvzZB3p8qf9cSmovhe5h8jnS8xJlB+KabIbXJ5xNrB8sLMmhKRgrX3yHcXAT2v+PrD3R/rCwqf0zNs1yf2QZ0Fftf/i26CYJoQQQgghZCcU04QQQgghhOyEYpoQQgghhJCdUEwTQgghhBCyE4ppQgghhBBCdkIxTQghhBBCyE4opgkhhBBCCNkJxTQhhBBCCCE7oZgmhBBCCCFkJxTThBBCCCGE7IRimhBCCCGEkJ1QTBNCCCGEELITimlCCCGEEEJ2QjFNCCGEEELITiimCSGEEEII2QnFNCGEEEIIITuhmCaEEEIIIWQnFNOEEEIIIYTshGKaEEIIIYSQnVBME0IIIYQQshOKaUIIIYQQQnZCMU0IIYQQQshOKKYJIYQQQgjZCcX0jbDWurIs3TiO704KuRmsG4QQQsg9oZi+GeM4uqIoXN/3704KuRmsG4QQQsj9oJh+A1mWJX3I78G6QQghhHwWHJVvBq2PJATrBiGEEHI/KKZvBP1iSQjWjXuS57nLssw1TfPupGxiHEeXZZmrquqjwiaEkDvyc2KaouQa7p6vd0/fp/LL+ToMw+x2Y4x5d3I2cVTw4vdt254e9idgjHFlWb47GYSQm/AVYtpa6+q6Tu7c7rBcLv1fu64LPldVlavr2k3T9MLU7eMO+Rrjjulr29blee6stfN3ZVnOdaOu6zemLg2Zr4/Hw5Vl6YZheHeyLqeu61k0rrXjbwMTCZ+Y/gWyLKOYJoTMfLyY7vveGWNc27YLQQLuupHLWuuKonBZlq0K5cfj4Ywxtxqs75qvn5I+CNCqqrzlD6F2pzJ3Li1fh2FweZ5/xETgCMaYufy+3RKroZimmCaE/PF+VXGAvu93CY67WCjLskxeHh7H8XaCWnOXfA1xl/RN0+SMMVGx2baty7LsI9wnfPmKyeK3Cuqu6xZ9DybGvgk9Vs6MMbNLiM6Xvu/nMLIsc0VRPFn3rbXzSoZ8TvcJj8fDO9HRfY1vAjAMg6uq6imt8r1k/PLzeDy8YaOf9glva+2Ty8Q4jrO1f+0dkF78Pc/zoOuJfk6mN5S/VVUt2iAmufqDd03Ne0LId/GxYhqd8NbB+gwfTwido2y1ZqGjPiqwyrI83apyd9/ZM9IHa9xRF4ayLF2e56vPnD0Av7rc4TurRcs3AMEJIK597wqRXNe1a9t2FtYAYhNCsG1bVxTFQhTKlayyLF3btq5pmln4yX5wmqY5HDwXEtNaxCIdTdO4tm1nlyP5XNd1s6hEWtq2XdQB+Rv01b76rPNNPos04B2rqlrkL36r801vCMXkVYZZVdXinWT+6nIyxsyrR8MwzP2/jBcTydS8J4R8Fx8rptGhvcOX+AwxvXeZNM/zw4LoClH1C5whphHG2grDFcvI7yh3CBKfxfZTsdY+CVh8VxTF4lm4gMRO+4AwjeUR+hxtPLDWzmIzNFGEoNMrMrqOTdPkXbXxWd3X+i8dNt5Rhw9rMfpxGAxk+/BZr/FdURRP+abDhOiOrUghf3W7xARD53tq+wzlPSHku/hYMQ1/xXdwhpjGoLFVmKFzPmJhpZjexxliWls0fcROSjjCO8odVtdvsk6H2i4Eo57gG2NcnufBNovwYoIbgtknuPF7X31BnfX1lamCEP2dfN+tYhrPawu6Thvi0u+pV2pQr+q6dsMwLD5auKM9lWUZnLBgwqDDQrr1JCkl72J5Twj5Lj5STMd88HzPSl/Eqqpc13WHlt3OENOwnug0lmUZtbafsfHnLFHVdd3i5Akso94B7SMJ31KfL2oqR8U0rJdreS/FmnyPPM8PCfmzyl371a690xVW9neCtiqX8+E64BPF6G+QD9r6CVcZ2YZ0H+ATdMAnVBFunucLNwUdpi4Xa617PB7z6UhwSToqpp1zc1ogaH1WaHyn/e91eOiDYx85gYMRQgpwnd7YZ81FRrOW94SQ7+IjxbTPUuIDFoqmaeYOHANeaGDaEv8R4K7Rdd3c6WOSELNkpAqyGGeIKliKkPYt1tSUgVB/tqQXy7pyYiI3Bu11OTgqplMnQqi34zjOdVf6fe7ljHJH2SFdEA2xcCE+vwHU89jH5w8/TZN7PB6zMPW5J/R9v9jgJkXmHjENARlaFdDtCpucQ+91VExrV4qiKJ7qM/o3n8+0FNjS7cVnTR6G4Sl/0Z7wjjK/5Dv6PnpVYa1PWst7Qsh38ZEjHKw4MVcHCFNtJcIgcMSCelRMY3lTilGATj1GaMBO5aiowkChLWx6wHsHEJ0+4XF0EnVUTKPerA2wvk1lzv3V+73xHy13ubSuw421J6T7Gyx0qPuhMoAYjpURngnVA4haKTQhAGNuHjI81NUtKwbSsi7L6gw3D+eWbh34t65LbdvOG8vxzr4TeDBh3rNCJzcbYgxBm0sllrcpeU8I+S4+WkzH0EuKQB9pFeMqCypEie/ZVDGd0vFLF4zUz9rghEHwrgNFSMyEBm8f8ma7LZ81UlZUpGXO5zeaIqavKHfnwm1qjaOTgDuBPAgRmnD4nolNqrTVFvVal5PcgAgBnOpioNsxykmWr7V2Ftmy/NZuOQz1EdJFxmcQgVvJWh2TBonQBCOG3nsSyl/n/r+rrruhVSK6dxDym3ylmI4NaKFNQls4apkO7fCGkFqzOqeKtxBHLJQhq/QdiOXflklUiLMs07Hfh1ZUnPsTInvr7pFyTxGJsXi/QUyn5oEUWvICGxyVpo9bQ7nA9xr55TveDSJVhqXrNSzVOF5PfmTd0YJXH/mGo/cQh09QIp1N0yz6s5CYRjsMtdOQAaMsyyeBjGelS4hMs3yuKIr5GYwBcpUKp4PI/JV+8DpufF9V1fzslrwnhHwXXymmY8vpeZ4fcpGQ4e8l5EOaOli/U0yfsWR/lcU/tnv+jEnUK8R0yI0gdaIV40i5h44OS433G8R06l4NacmdpulppUBfBKIvCgldPDJN08L9AWHp9IQuDtFp97UVmRaIVPRL2orc9/3i2bWwnVuKVl//jM2aUqTK87T1JLPv+0X+YuIi27nehO67iAZpq+t6URa+DaPO/bdWy3jxLql5Twj5Lj5aTIc6p9Cgh47u6K1sR8V0SBym+Fvi9+8SVSkuNu8i5McpL6M4I/yjYjrmUhHK3yM+ojLso2J6z7t/k880uRZ9njQ4Y+M1IYRcxT1V0QprA7vv7/KIsaM7rI+I6dDmFHkWaox3n+bxaWJaXuV89LzXV5zm4Vt1kH6YRy4/eZeY/qbTPMh1hE4lcS69fySEkHfwkSPc2jnTsOJBPA3D4MqynH/Xdd28TLdHnBwR09IvEZa6vu+Dt3lptpyxHeIMUSXjx1Lru5cxsSkJG5iwxC5vMcOGqj1pvfqcabnxEXGM4zhvRnvnNfLShQZ1dBzH2Rc4BC2KZAvy6EC4eUjXlnf3MYQQ4uMjxbS8SjYEfE/h9wdxhc5a+y1u4YiYhviQvonwkUwR9ne4AVFufILF9y6DnLwgA0dwOfdnUfcds5XKGTcg+k5MkGnHpUKw5sK/8wwXiaPl3nVdkj+p5BtvQCTXAb9wWc/QxxydTBJCyFV8pJh27pwNZZ9IyKeQfAZnnCrySeCmxCPuKYQQQsid+VgxDev0UT/YT+KI3yq5D6ln6X46qTc+EkIIIZ/Mx4pp59zCB/rbgd8vl8s/H5wZfPRUmTuDTZO/NNklhBDym3y0mHbub/Me/KK/Ed91weSzwcbCsiy/zlVpGIbgWb6EEELIt/HxYtq5v00r3+hLXFXVaRvQyL2w1s4bUb9FdD4ej1uc7EIIIYS8iq8Q04QQQgghhLwDimlCCCGEEEJ2QjFNCCGEEELITiimCSGEEEII2QnFNDmMtXa+tvuufEIaCSGEEPJ5UEyTU8BRb3uv6n4Fn5BGQgghhHwWFNMkmSzLkj5MIyGEEEJ+BaoKcgqfYPX9hDSSe4ObSH03O+JypaZp3pCy74eXVxFC7grFNDnMJ/gjf0Iayf0ZhsFlWfZ0QVTf9y7LMlcUxddcwLMFTDLatr0snG8X02flISHk9VBMfwgUg98Ly/Zz8InpcRydMcYZY372plLky1EheFY4n8gvvzshnw7F9AdxBzeFsixnv+O6rt+WjhifkEbNHcqWrKPFtLXWFUXhsiz76ckQxfRxfvndCfl0KKZvyp030NV17bIsc13XvTUdMe6cxr0Q+bIAACAASURBVDuXLYmjxXRVVav1bBiG+bksy5wxxtV1/WTFRtjDMLjH4+HyPHdZlrk8z+dJ1jAM82TRGOMVXmVZurIs3TRNi3jrunbWWmetdW3bOmPM/C56IhDzDW/bdjF5QDr1R7pjdF23mOTmef6U9rVwkD/4f9M0c36FyknG0ff9PPHRH/2eXdctng1NdHWYRVE8pQf5Ld+vqqpFnq+9uyzHWLoJIe+BI/cHcRfrpR5M78gnpFFyl7IlcaSYRh2LbTjsum4Wvk3TuLZtZ2FkjFnUT4RdFMX8fNM0s+iFeETcEGBalJZl6fI8d8aY+VkI2bIsF+Fj0mmMWfh6h3zDnftrWxCNXdfN4SC+tm3nd4Ovc1EU8998aV8LRwtk/N8nKBGO/i1EvM5X2e50GpqmmdMrn4OfPMJs23Z+RyBXLuq6dm3burqun9yCUt4d38k6RDFNyD2gmP4QzvCrlZavI5Rl6Ywxh8K4mivSCIvf2dBn+nNAG4IQy/M8+Ky1dhZNumwhMKUYkmHL5yHItQV8mqZZpEognLWLEwSh3iQJESeF4hYxLZ/3WcqHYXh6f2utN+1r4ei/4Z30pk9jzKJsID7laoAvPHyn885a6/I8X4SJfIttOEVe6ZULWP5lPFvcPDAh+lUffULuBsX0D3GWmA4NsnfiijReJabJ5yBFJkRr6HQJiOCQ5RqCXIetxRREs6/uweopQbo0EH+6/cPC6hOVZ4jpEL50bhXTPrGKfJflAou8Rk9oYP1/PB5uGIbFB3kN8ZxyFCJ+o8OSqxAp7y7BO3/rqSaEfCIU0z/EGWL6E45vuiqNFNNEikxYnkPuRBA9IdcdiElYF2NiKiRsfYI0JKZ9IjgU79liepqm2T0B7UhPJtbC8f3NN9HwWaHxnbQi+yYR0q879EFZY0VJuvFoS/FaWHL1LEVMo2/zTQwIIe+DYvqmjOO42HRSFMW8KWavGD5DTMMag6VbpDHP88MW77O4Ko1niWnpM4rNaI/Hg0L9A9AiU/ri6uV+iun/SDcV32ctLWt/k/kI9xHtS6z9m+EzrV0l5GqDz5rs6z/6vp+t/tpKju9CYfl85mNimifHEHJPKKZvCAYf7Mh37k8grvnoxThDTMuNPU3TOGutm6ZpHphSwGC85bNFaJ6RRh9HxTQ2Ixlj5iVa+GKuLReTe+ATmajPWsCtuQHo+ngnMQ0L6BliGhborusWfdcZbh7OLd068G/toww3D2mg0CdqOBd2hUlBnjcO0LZTWBPTyPc7rwoS8qtQTN8MiL6Qf9+R5b0zxDQGB71BBwPjHazTV6XxqJiGP6a2VK5ZMMl9CFlsff7TcEHQJ2U49ye0UzegvVpMI06d9r7vZ3Esw4kdpefrt6Zp8grNWDihdMrNjFVVeSfMoTA10pChsdauHrWJyTKAOPeV6TiOyXlI9w5C7g3F9M0IWUYwMKdcQoJBZ+tnDQxaPnFwFzF9RhpT/Cb1Z81aFNtEhjLnzvz7ExLTmATrJXhMoOTReKhf+lSNu4lp1Eu4RuD/clOdRB41J4+bk8fy6aPhfOkMhRPLH+lm4esjfW3aGOOqqnqaxOJZeeQd0iyFLibXeAa/kysR0q9ePgsLud5EGHp3eRSePCKPVmpC7gHF9I2AEPQdtxVavtzCUcs0/A59y9YYYN8tCK9M4xHLNESVr/z0kVvkvsSsh6h72nqoLwCBSNOTPX0piSQUZ0hM+6yzobPXYxZfeR4zzkGHVV2H0/f9Yi8A+hlr7SxG8f6Px2O+OEYTCieWP9KA4PMnRvvDhEYK5NBqkb6MRZeZvojFdxGNfH/5bFmW3r4g9O6hS1tSjCCEkOthS7wRKZcQHBGrR8V06Max2CTAx5U+02el0ccRMQ3Rowf6LSsOhJDtxE738Z3oQQghW6GYvhEhCxEGg6PWy6NiOrR8DKv5HQakK9N4hpjWpFxHTQjZT+jiFOf+fNfv0HcRQj4Xiukb4RPTcon06NWxR8W0b1kRp1H4fJTfwZVpPFtMd10XtFgTQs4Bqz/a51he636HvosQ8rlQTN8IdPo4s3aapvmaabgCWGtdVVW7BPERMS19EvH7cRzn3et3EINXp/GImIabDvw9H4+Hq+t6tppN0+T6vj88YSKEPDMMw3zSh/RxRp9KCCFHoJi+GV3XzR1+VVWzj7Q8AWDvEWpHxHTXda6qqsVmKlw48u5Nh+DqNB4R0/K2NGzAcu7vqDGkkwM7IYQQ8llQTBNCCCGEELITimlCCCGEEEJ2QjFNCCGEEELITiimCSGEEEII2QnFNCGEEEIIITuhmCaEEEIIIWQnFNOEEEIIIYTshGKaEEIIIYSQnVBM3xhc9HGH2wUJIXHYXgkh5DehmL45uA57762HhJDXwfZKCCG/B8X0G8mybNOHEPI+2F4JIYT4YI9/c2jpIuRzYHslhJDfg2L6xtAHk5DPge2VEEJ+k58W0xz8jsH8+y1Y3oQQQsgzPy2mneOy7FHunn/TNLm6rp0xZvZltda+O1nJlGU5p7tpmuS/XcXdy5sQQgh5NT8lpu+8YWgYhoU4qqrqdhbAO+efj2manDHG1XXtnHPu8Xi4PM/fnKrtVFXlsixzXddt+ttRPq28XwkmacgLTjDuQd/3c5ncrf8ETdO4LMucMebdSbkVwzC4LMvc4/F4d1JO4+x3KsuS9eam/PaI6O5hacMAANE3TZMrisIZY247IIA75F8IdDwxS3Tbti7LMte27fybuwlFiLZpmjb97QruXN6vApO0oiictdZZa+dySJnUjOM4T5jJuaA9Z1nmhmF4Wbwo09BHCiBpNCF/QHiiL34HVVU5Y8zcnxpjDhlgfO/0eDx2C+w7jk/kPz9dKmf5gB7tAPI8f2qwaIRlWR5K25Xc2YcWgxsmKCE+QUxjYrX1b2dz5/J+Jb4JjLXWGWNWJ2/O7RfT+N07xcZeICCuthi/S0yjv6aY/gOudan1nGJ6nTuOT+Q/LJUTONIBwCrt83lFZ/Qqq+M3gUH105cMrbXBSVXsb+QakOdFUTz97UqXG+fuITb28iqRewcxvVY+vyKm8Y6p/dMn1+8QZ78TxfR9YamcwJHGAv853wCMhvPLS+p7mKbJ5Xn+8gH1CmKd8TcOPndHu2RJIOSu2gz6yeVNMf0HxbSfT67fISimf4efKhX4NsLim+e5a9vW1XV9qLIfaSxoHL6OH8vJd+lcrsq/M5GbwuRHd+jyOckwDF4hPo7jbHnM83z2lW3bds6PVCt43/euKIo5/qqqXNd1XncNiANf/Yj9zbn/5dU0zfw+W4XeJ5T3q9FuQZKu65LFg2/5W9eLoijmspVlKD+xOof0wPVEl6Vvko7nZHxVVT3VMbQFXWel7zDSJk/SkR+8/zRNCwGMtinDHoZhXoKXbVq/Q0xM932/ELKoz9otB3HJclgzaJwlplPSKPNrHEfXtu1cXngeYaE+GWNc0zReF6SjcRpjvG4Mvk/MxUcKz77vF+GH0q7LSr7/Wnpk/Yq5XqFO6bTLPAi1S5+Yjm1K1GHqgwhQTnKfhu858np+RkyP4zj7P6GTlR3/EevvVWI6NnBr1nz2Qp9Ursy/K0gRNRhoNFqkSl9hCBQMQOM4znmf0pmhA5SDAwaDmOuAbyCJ/Q3lJQUZnk+x2H1aeb+KWJvcss9BPweLN8RA27auKIo5nq7r5rpTluX8TKzOSWEZErSyLsDvO9RXyDIPCUKfqFwT0/I3+lm8e6wPk+kKiWn5vf7IdhfrR2OcIab3pDGUt3JSJj96ReXMOPHeR8U0wsekHeJSC13UC91m0L+CaZrmv7dt6z1NJdZ2fUYLfIe2KCeAsl3GxLSuJ6gXCLNpGmeMWaQJz6Bvbtt2YeQh7+NnxDQ2amn/YznT20tKBxriLDF9NVfm39mgs1qzwoaWzGIWXwwUeZ5vtgSE/ONj6Y1tgAn9DadNwIKu3yvFp/eTyvuVXCWmMRjH8nXrkrEW0xCdUpxKgSItXaj7OFlID9ZbxLROi25XWsBC8KF9dV3n8jx3XdfN+SOPwJPv4ItHWlWrqprDkKIPbQJCK8v+9qoMw+Cd6MbeISYifXm3JY06LmmJlt+XZemstXN/cEWcmHRrcercfjcPfYqVtXYW1PgeEz+cqCOBuAztNUIZy0nYVjHt63t9z6WKaZSdnjBYa72TWD0pwjv/qpHjDvyEmMbg4RuEfCdphIh1lqHPmhXwE8T0Wfn3KpBvax3LHjENwbFnY2Oe597THpC/WuRisPMtPcb+FjqmbW2Q0en5lPJ+JVeJaQiY2ATwiJjWbcEndLSY9YUDMXOVmN6ymdb3G1888jtd97Ugl8/6XEBCHBXTW9Io49L1RboIyLTLiRK+PyvOUF3YK6Z99VtvKJd7F4ZhWHzwrr7+H3HofnOrmPblg899I1VMI82pekGD/Hi3VvhlfkJMw7KiOwwIkrXj09Y4UoljYhoz6Hc3kKvz72xSReMeMQ1BvJXYxrXQWdEQtT7hHvobTptAGmHZ2HLSxKeV9yuJiWmU8R4xDVcilF3TNE/5f0RM67qshU6qmxjCuUpMh96t67r53HidpjUxLdMa+iAMbcWF8FpbhTrq5rEljbG4UlxI9uTLnjjPFNNaLMbcU/Dx9Y3ov0Nta4tlWq9WYLzeY5lO3VgYeu4bN29+Gj8hpqW4kIQsgnvC31uJY5bOmNDWXOkzfXX+nQ3O+11jq5g+chSdtqxIQtZeX+e89jddD+Bz5xNnIT6tvF8J8iC2USmlLwjVo77vF1ZEmdd3ENNXW6Z97yZdL2KCLxRPimiU5TlN0+yv6nt3H68Q0z4r8dVi+kicrxDTPss0PnpVAfXI1wdvFdMIS/tMa4FNMf07/IyY1o1E+mEdPcf5SCXG8q7P2of0vds/9er8O5OY+4MGHZNOf0hMH1lKC4UZK//QBsnY387oVD+pvF8NNmH6Jj+x5WXNmsiAL6pvk9QVYhoTxVBd1EgBJfsn6bd7lpiWJ5BIQZsqpn1+0KlI/+FYvh8V01vSeJaYvjrOM8W0PkI25ooWCzuUFrTrFDENf+2qqhanpdR17T0ZJkVMp24Op5i+Lz8rppumOe32uCOVGOIvdMTUHZbU9+Sf751ewZZO1neOtxSNumOLWYrX8Ilpedyez1ris3Ss/S3WqcKKs8bV7eXT0ZuhwJbb0lJEhs7vrTcnbhHTzi1PCpAW8XEcXdM0QdGKujYMw8KaK+ugT5TqEw9C9RZ/k5vNZHhrYlqGX1XVLBytta7ruqcTb+QqTqpIPiqmt6TxLDF9dZxyYyI2QqZssI1tQEQa5bjpC1P2pzH3DokvvL7v5/fQeZGybyZVTIdWvEIbEFPiIa/lJ8S0HPxwPiN88DD4tW27uyIercRyyQqdDgbSd1ulnduXf77O9RWkbuRw7m9AxjmyOO4uJHBhhdhTJrqzHIZhPicXFpdxHOcd+M4tBXPbtov0hP4md7lj4EC4qROzq9vLp4OBC3ksz3xNnWj5hKw88g6Dpt7khIG9aRrXNE3UCr5VTMuTGXwf+aw8CUJ+QmLa93yKP65z4bPjU8V0ShhSTIeeSXXzCOULCInP1DSeJaavjtMXdqx9yHaF8bBt/47G020B74Q9Bm3bzufqy/yW/TzaFz5SXCO98jx9mR5tmdbvlue5q+t6UU9SxbRzf+OLPBovz3PvhDeUd7/aJ9+BnxDT4zjODVLOttEYfQe9b+GMSvx4PBaH1Nd1fZvl9K35985rrrcKXrnUiTyXnXRIwO5Bnm+Kc6blbY16o5PMXy3sY3+DeMZ7FUWxyc/56vbyDQzD8HTxzpYVC/wGSNEQy2N9mUUsTnkEnhaCobN7p2l6urQFIkS3KX0pCNoPfqvrJY6406JMCm2ftQ+XD0lLJ8STfofYO2NCKAWuLje8v4wrZQOiPIN9TUz7LqXZmsZQfoXOHJaWfN9G5yNxht7HWvt0oUpsTIMgxKUw+rIoH74LZ/TYGTv3Wr6jrmcwsuD38lg+bIaVwlxeZKRXNnwnfPg2SPrqnkwj4g3l3Z5Tpsg5/ISYJq/l8Xg8LdW9Aoj4Xz66jRBCyHVAXG/ZGE6+H4ppcirytsBXEzt+jhBCCDlKaOO6c9tumSXfBcU0+Rqw3PgOIU8IIeT7gSsRXJvg5iF9nsnvQTFNvoI7nX5CCCHke9F+5nJvAflNKKbJx4OTT2JXMRNCCCGEXAHFNCGEEEIIITuhmCaEEEIIIWQnFNOEEEIIIYTshGKaEELIrXnnkZuEELIGxTQhhJDbM47jfCsdIYTcCYppQgghbyV2FbfvQwghd4K9EiGEkNtDyzQh5K5QTBNCCLk19JkmhNwZimlCCCGEEEJ2QjFNCCGEEELITiimCSHkTWRZ5qqqSnq2bVuXZdnXuzpM0+Tqup43G36an3RZls4Y8+5knM40Tc4Y47Isc4/HY/6+aRqXZdlL3rkoik1thpBXQTFNCCE7yfPcZVnmmqbZ9fssy1xZlknPQkwPwzB/V1XVJoE9juOtxQgEW1EUzlrrrLWzsO66bvX3j8fjSey9mrIsX3riiBS5obqIcj8yGRuGYQ6jbdv5e7zvK94Z8aS2GUJeBcU0IYTsQIqLvVa5q8S0McYb7t3FNITzNE3zd9ZaZ4xxxhhnrY3+fq+YRr5IkbiXV4tpWQ/xkfmnn5H1Z288nyCm0Ta+cZWA3A+KaUII2QGEHwbtFMup5qiYPiPcu2Ctnd06NEfyOAUIxU8X01gpqes6+MyviOlXposQ1jJCCNmBMcZVVeWmadpt7aWY/qPve68QdO7v3fe606zxLWIa+aSt+BTThFwLaxkhhGyk67qFpRQbo0JuCMMwzM9AMMISq4WBtdY1TTP7weZ57vq+94ppvSlRbtyTHyn0Q8K/67pFGvM8d23bPr0TRNUwDO7xeMzWUDy/F7yLLwzk95qIQtq0m0ff94t3K4pizkekX3/WXEWmaZot5kjbOI5BMY2NlShXY8xcDyRlWc5hhSzNvndGmSB+mY8hMY206PoAdxlZt1LFtPytFu4yDLnKMI6jq6rqKW+0u4pPTKNuIJ+kf3isTK21rm3bpzrvixfl8Hg8XNu2czq/fTMwSYdimhBCNoKBH2BA9wkwCAhjjGuaxjVN4/I8nwdoLRAhTsqydG3bzoINz/vENL4bhmH+DuK2bdvFaRi+OCHC5W8gMrAZUL8P/l7X9UJg7HXFiIlpxJkqpmUYsHjrd8MzXdfN7488b9s2KpTgxy3fvyiK2bdbi+lxHOe/NU2zKFft1lKWpcvzfPZ7b9s2apHXQlnWN5RbSEyHLL0oC123UsS0fE5PAuRkD4LV5/ONjzFmIWx1epGv8n1TxLS1diGiU+OVGz19kwXyu1BME0LIBmBRlkIh5u8LsSEHXmvtLKakkAmJxr7v54E8JqZBTHiG4tSi2bk/X2U5SZBiTQpOiBhfHqRwlZiGgIttXtzq5hFKqxShEhyXpwU6rLhyAoL6kuo25BPKCAPhvlJMO/dnydWb/1CHZR2RKxtSYMvJii+9UhD78jbm5iFFvRTYOOYvFK9sJ9M0rW6IJb8DxTQhhGwAAkgL2NBJFCGB6XPzwGDuO1cZfztbTCPdvjghkH3i2yc8IW72cJWYRnmlWHdTxXTMrUfngawDsBzj40sbRGCqUPMJZXyX53nwGeeuE9NSlKJeyd9DwIbcPmS4UpDL9MrTOnyrCDExLYWxxjcRkJZpCmjig2KaEEI2ALEEdwB8MLhLYbQmAvXffFZsEPOZPiKm18SbFGXynXzC88jmu5iYhqvGHjFtrV0Is6ZpgkfHpYrpkEhz7jkPYm4M+Egr9NY8DAlliMKu614upqWrBSy8UmAj/2U8sY9Or3S3CNWJkJiWafNNsHy/W4uLEIppQghJJOaPiY9PeFJMrwO/c597Q0xoS2Jp6/t+sbwvLaGvENM+yzQ+UtyfJablps1Xi2nnni28+L+0BqeI6TXLdJb59yqE0hV6j9jvKKbJGhTThBCSiM/VQgKxhr9/gpsHREnMzUMK3KvENOKSwh3EXFEkKaJYbgbc8jvJFjcPHJ2YKsTOEtPOLU+hiIlpXT+lFXmvmJZhyBM35CQGKw76+xBS1MpNoHrDYCxdsfeWeSbrIcU0WYNimhBCEsEpCyF8ZyVjcJZ+nXLzlO+YL22dlWIkRUxrsSgJxekTCr7LUq4S087588q5/+/jE9maVFGMkzfA1pshIe61RVRaviW+k1hA3/eXWKad+ytbefyffEYKTnwvhfcRMR1axZETECmI5XGFyJeqqhZxaVErxbgWxtJyPQzDvGlQp1luQJTlF4uXEA3FNCGEJBC7VESihSx+J4/GM8Z4xbRzbvF927bzwI/vU8Q0hATEiBYGoTjl8XFrt+mliuktV3xLlwiclqCt/Sm/12JPHnmHNGp/WYg6lFHMCj5N09PReJhoId986ZLPy+MH5eThTDHt3PM52j5XEP2RPsl7xbRz7un4udD55r40pIpaKZrls75w8Xd5pJ7vo0+2oZgma1BME0JIAqk3EGJw11Y26UPaNM1sldMCQ1vIYLGDKJXCS1/aAuTlIVrI+kQNLrCQwqsoCu/SO0RVyE9VW8RT/Z1l+FKEVVWVfJ6vL236vUKXy+gyWotT5zFuw9RnkMvn9cUkvnfz5eFaOpAG36kW8lhFnzuEzB/kjS9MuKvo/EVd9aVZC9rQBGUYhkXeQLjq+od0yvprrQ0exScvPzLGLOLXl+igzvvqhi9eQiQU04QQQi4DYou3xRFCvhWKaUIIIZeATZa06BFCvhmKaUIIIZeAa8a1awEhhHwTFNOEEEIuwRiT7CtNCCGfCsU0IYQQQgghO6GYJoQQQgghZCcU04QQQgghhOyEYpoQQgghhJCdUEwTQgghhBCyE4pp8hKsta4sS17cQAghhJCvgmKavIxxHF1RFMErZQkhhBBCPg2KaXIKWZZt+hBCCCGEfANUNeRl0DJNyDplWTpjzLuTcRqf8j689py8mqZpXJZlH9E+SByKafIS6DNNvomqqlyWZZfU57IsX7Z6g8G867roc0VR7E7TK9/nCFmWubIs352MTRhjThdiUuDxGvjtjOMYXZWV5YW28Qntg8S5dQn+ugD79fcnv8en1HkMgsMwXBb2KxiGYdUiO03TIatt6vs8Ho/L8jSFq8Q0Jl5XcIWYlgLvXWXxyaBNUUz/YYz5+pWf25fg3VwDrLWuruuXWTB875/nuWvb1llrX5IGEqfrutlyl2WZa5rm3UnahOzoZT3Tg8Kr6tvd2ryPbxHTzv3vT2LlC5G7Zr0Okfo+bdt+pZj+FMs8oGX6GLLfbNs2+uyviGm846et/GzhViV4901rfd87Y8xlQjb1/a21rmkaZ4y5rQWv67p5kDbGuLquv1L8y3Kw1ro8z3eLjneBdGdZ9jR4Yskyz/NL4r57mw/xTWJ6zdUDE8W97Zdi+rPENDkGxfQzFNM34C5Wqr7vD1ln9hJ7/67rbimo9eA8DIMzxriiKL5KUKPTTO0wIRLu2Knkee4VzFjir+v6ZWm5S5uPERLT1lrXtu08OcHSpq+NTtM0uwCgTozjGBRfwzAsnscKlS9tCAvpiJUfJkxFUXjTGFqe3ZIe/T51Xc9tB3H4PjLffHlbFIW3T96aB845bxmEDAFIi1yR0nW267rVZf4QW/JWh4d31/UrVA81vk1xsozGcVyUAwxMACsZvvYhhaYst3EcXVVVszsA8l1P7hHn4/FwbdvOz+O9pmlydV3P34fyre/7hZANrfbqckjpl84S0776pet6rFzku/d9P4dljHFN03jH4qNxxupCrG1/A7cW02f4T8LacTQdaNyvJOX9q6pyeZ7fRqSGxBfKYa1z+STQya4thd5dTFtrg4IJk8jH4/GytHyqz7S1dh6I6rp2bdvOA7teMkefIp8timJ+VvdZEGYYIOWgp92KyrJ0eZ47Y4wry9K1bbvqehRamcBgqAXE1vTI90FfIPuItm3n55AfUtzIvJXvFBLKe/IAYkDGIctTgrZfVdUcNn6LOjFN00Jo4J3W2tKRvNXvjjCQ3pQVJp/AkwIR76k/6NvlszrfMImSdS3mY6zbTSgNwzAs2pT+yHaK+uf7yAllLF0xzhDT8nv9kXUgpVykOJYfX5s5K068N8X0F3GGmEYYd/Qfg3i9i0iFVUMPvle7C7wDdCafDgSzrw6hPLkRaYlPTKOf0JYc1H0tHn15Lgd6AJHgW9nxTeiQti2bfRCvFnoQ+JK96XHuTyj6DBMxNw+fAEdaIFbl4LwnD5Dvsvxk+PJdu657ene0oxTBG+JI3urvQhOANcvqmpiW9XYcx4U1GUhLpQTPStEqLalSYMvJJtAi0Vrrpmly1to5/2UZwjovJzh4pqqqOY+l6MNv0fdp4e9bwZGsbUD01VOZ13JFA/mMvVq+9PjKReZFlv2fHCKvpAA+M85QXZDldicj0tlQTCdgjLn1LlTfgPcuMAv2TTzQoO5iRT8C6tU3dA4xEUN/Tz8+MY26PwzD00cLiJgfsj6GDgNjXddP4WKwkwIJadvSziAyZBpDq0x70xMT0s7F62FskySEkJyY7MmDUHveMqH0hbGlDe3N25T4YpNm3+9DYjo0WZDPSyGK9MowMGkLuX3IcOXYhmeNMV6XDCmUfWOQnKzqv8vf6me37JM6KqbxnTY8reWfLhfpDiXTLgUyvj8rzpClnWL6xUi/HlRq+AXv5aiYTu2AzgAzQe3vhWXPEO/euCPxNSSAxn2HdO4l5t8p32uaprlj0R2ItAJI5JKw7Lh8g8oa2o+trmv3eDy8nVlssF/rAPu+f/Lt3LJ8d0WbfwU+MR0bQEOiIBY2iC1L64HO9/tU9EQ45OKxNz3av1UT68eyzO/T7dzf4C5F+p48CNX1ULqGYZjdU/A5KqbPKOuYz33KWLYmpvXvfc/Ls5ZRLj5Lb8r7ynDXRJl2adA+zjFXBh22tuKisyz5TgAAGyVJREFUf1rr3466eaTkh8+lJqVcdJ5L18Mr41wrt2/gNmIasyXpGI9Bem1ZJcZRMf0qoYolkjzP57hkhxRbmtsq+FM6lFBDWsPXkHS8nyymQUq9gC9yioCFb6Rz/ycdZVm6ruvmgagsy6TVEfiWGmPmQVcuVfv8RrGsrEH9C/mayk1k1tr5+dQO86o2/wpiYtpnmR6GYTEIp7QTIF0cQmFLy9NeMQ3xjHpTFIXXLWtvetBPhTYif5KYlta9kBjbk5YzyvoOYtq5Z1cP/F+WY4qY9k1CQ32MtdY9Ho+FVVbW6ZSxT/az0zQt/OHxiQnqV4hpn5X4ajF9JE6K6RcR8jVDoR05t/eomEbluNpZHgJILz2lLFf6BpN38StiOnUZOVVMS7AJbU95hnzW0Q5Cvuy+uGLnCyMe7WObZWl+8Ve2+Vfgq8sYwFPY4uaBlYytk+WtSFcP/NtXDkfSg3romxjGxDTETMzN46h1PlVMy/0fuj0dFdNnlPVdxLS0RMvVONmf+PycY2wRZdLvGs/7rOOpSL/qWB4eFdNo/yn96Fli+uo4KaZfBHYe644SDTClkaUuF8lPSsGudYRr/lGhj+89fQ0vdGSZLw13qKi/IqYhOlKe2yKmIWL2nNCC3/rigyVNDyCoe74TBvAbPZGUaZTEhLnmjDb/amS9RfnJ/JSWes04jl7Lps53afEEyG9ffjnnnsI44ueOlQGIjtCRfkfSgzh0PvlEMQjlbeiM9CvFdGjCF+qHt1w9f0ZZ30VMh67Vlu8lT+AoimLRRuBCJuOLjd1wY5PH5KFu4PmQX7W1dr58C2moqso1TePdeHelmA75ak/T5B6Px8JSf5aYvjpOuTFRbhr9Jt4upuWGC01IAGzhLMv0lYQ27aWe8fspYlpu0PpktojGrWI6Jm7XiF2+EZqUhQQzfuPzXdZW6XEc5w435Szxq9v8VWC1AO+v81MKg7IsZ9cdiClZptIfE3si5HFmoQEQZ8TKo+F85wzv7bOkBTE2iT+SHimApWUX7Qpn1cpzhmV+IW/l8nto89oWUsW071hDlDGO4pNgklAUxfxeMY6W9V3EtHPPPsy+FYnQedy++NbEdCgM2fZiLjqynOVeEP1JdfPwfdauE5fHQIY+R8rFJ6avjtOX53ql586HPKTwdjEdOpLJuTSrbGr4e3mFmNYNDKRa6baK6St9pn3HVMn3vDovX0HMgqYJlUuoXh05ii7kkhSblGmXApDi741PURTzxsEUrm7zVyEvAJEWMAk2EUufTfi/+8KTeQlLGS6v0PgumvBdbFGWzxd5pCKF4lqbP5Ie7BHR37ft30UcenVGX8iBPAudQrM1D0IDOuqrLG9cMiLbADYL6zD0EWMpouFI3obeHePEWr+FtIYubQmtpsTGMHxCe3+GYVhc2hJqN2hXvjz0XepTlmXwwjOZvzixS28il/UNz6ytMIQs8j4xHco736VAvjoQK5fQ2eJy0qHPvj8aZ+x99EZ1bfG/gzHwCG9XNiE/ORT4UT/gs8T0ldZUX0WKXfGsuZPPNBpM6Naku28sSyFmzdX4OjPnwmI6JG5TCIUZKpOYYI5taj06wby6zRNCCPkMjqzG3olbimk56z+awZ9wmodP0DRNk3x+9CuP71sDDUNbDkKb2UIWjTuzZaMZZuLSwiYtF5KYuE3BJ3KlBUaL/9hmv9CGxVA8zv212zWubvOEEEI+A5wa9Ok+1G8X01p8YakMArHrunk5dE9mf8I509I1AkuCEEGwasqj0zR3u6UOYksepePzJXTu81w/Ypv8fMhrh4dhmMsVFmgpcEMnXKSiN7U9Ho/ZpxMrHNjU49xSTGMZDumRYhpCF+1Pu2nI46hSrPVXt3lCCCH3B2PQ2q2cn8AtVAzEIDZcYLen9I/aezTdUTEtr3e9CumLKXcTI+24vCXEnW5AdO5/nsnNQUi/FkZHLbHvYKvgtdbOkwtsrJLfyXPFY9bgrXHleT6L3b7vF8ft+c6p1TvpdfvTrkbStxXhbtk0eGWbJ4QQcn+qqvqo8T/GLcT03bnzCQNwGbiDi8dWcALEJ4mm2IkZhBBCCPk9KKYTgHX6jke3YOf2py2Hw4r6SULaufAxhoQQQgj5TSimE5H+nHcBm/o+TZB+KvCXvuOkihBCCCHvgWJ6A/A9hY/nu8AmRWPMbTYd/gI4B5WTF0IIIYQAiumN4CD3dzrNhzb0kWvAqkRRFBTShBBCCFlAMU0IIYQQQshOKKYJIYQQ4pz73M3hhLwTimlCCCGEzIzj6Iqi+IrLNAh5BRTThBByAjimknwm8iKhXwK30IY+hJB12FIIIeQEcJvkHRiGwdV1Pd8oiU9Zlq5pGp6T7gHld5cyfCe0TBOyDfYahBByAncQ09ZaV1XVqrXxW67wPZMtYhp5/I1WbPpME7IdimlCCDmBO4hpKQi1ZdFa6/q+d3Vd8+IhD1vENK3YhBAJewJCCDmBd4vprutoeT4AxTQhZC/sCQghZAPTNC1cKbAkHhLTwzAsnselS5qyLF1Zlk/hV1WVtOReFMX8m60+0bhVVfpYV1XlvWFVv4/+yLT2fb8QnqELpxDv4/Fwfd8v3qWu6/n5cRzn73UeWmudMWb+DRjHcb69FK4ZdV0/5ZFPII/jOP8uz/NF/PrzeDwWaWnbdvEeeZ57463res7vvu8XefEKdH5XVeW6rvtKFxZCroJimhBCEtGCDYLJGDN/L4G1GCJSCqymaRbPlmXp8jx3xpj5eYjWPM9X0ybdO/a+k+8jXUWGYVj1x4aYbts2+IxOI74PpQOWdplWnSfSMt913Wp6jTELYavFtLV2ITKHYUgS0/p3qfHqd/dNuM4GQr5pmnnCgjq3tR4R8stQTBNCSCIQiFroSOEIIPyKoniyxEKw+ESVtKrKZ2MnK0jRKF08QuJPCnkIKghG5/5b3yEIpWiV4h5px++lJXOapoWlE+//eDyeBK9zy+PZ8LwWpRDpMr3SCi6t5YgPVl6Z3mEYvBZsLaZlPDKtvmcl8ndSYOPovVi8xhg3jqOz1l5+4krf995JHeqS/p4QEoZimhBCEoG40+JY/g1ArNR17YZhWHwguKRADrmJIJyYpXKrmJbP+ASec8sJAkQr0ijTIuP2WaW1KJSiWX+nraEyHAh95IcWfDpcma6QGJYTAClqQ6Lf96wm9C7O/Yn7ULw+txof8jepH11/sAqi6zIs/L73JoT4oZgmhJBEQgLKuWcxHHNz0JZL3+8BRGFMTFtrvULZF458JsVtQ4q8mGVapj1F7PkEvU67T0w7555cPaTAhghMyf9QmqV/tW/iFBLTcvLis+z6fveOzYxyoqdBefIsckLSoZgmhJBE9ohpn2UaHynUjohp59xi86BPCB0R07A4x56X4jFFTPss06liWrt6yP8jT1PEdIpl2neMYEgAy/wJbTK9g5hG3vg2OeZ5nuSjTwj5g2KaEEIS2eLmgeXy1I1kR8W0FI8+AegT09Ki7bNSaiBa4SKAf+u0Sf/gFAvnVjEtLdGPx8PrA+2zVsfQolb+X/urH3XzkGL1nWJau5VgEpFSFwghf1BME0JIIhCT2qLnc3XAJryQq4AO46iY1hv2yrJciCVpbZWiVfoPS9E5jqNrmsbrjrF2bJsU7lVVzYLaWuu6rnNFUSzStlVMO+e8J3/oS2rwjI6v73tXVdUiT7WonaZp4e4hJwVysyNWGPB3beFGWmQdicX7CnxiGkcIppQvIWQJxTQhhCQiBRaOxpPH2WlBBNFijHFN07i2bV3TNPNvJEfFtHPrx7L5LNfyLGXfRwrcUNhFUSzOg3ZuOcHwfY6KaWn91i4bQB6X5/usidrQBMQXLsJay099uss7xDTSLzdrlmU5W/O7rpvPTvdNBAkhSyimCSFkA/KCFml5xcUgGt/FJaFLQ3y/h5jeYi3sum5xUQnEZlmW7vF4PAmkaZqeLm0piuLpghUpLteEN9KhN/b5LoNBvNo9RYpWfXGNFq2ho9xwyYx8tizLJ9cP3xF/zi2t0DINTdMsLNfSKo78lHEiPzWheK8GkxFM9GBdl2WRclkQIYRimhBCSALSdUPf9sfrtQkhvwx7PkIIIatIlwtpYR3H0Xt+MiGE/AoU04QQQlaRtxqGPrzogxDyi1BME0IIScLnfxzygyaEkF+BYpoQQgghhJCdUEwTQgghhBCyE4ppQgghhBBCdkIxTQghhBBCyE4opgkhhBBCCNkJxTRZgAsYePMVSYV1hhBCyC9DMU2eGMfRFUWxuB6XkBisM4QQQn4ViukfZe3yBV4NTDSsM4QQQsgzHPnIE7Qykq2wznwGWZa5qqrenQxCCPkqKKbJAvq/kq38Up0JXamd57mr69pN0+T9nTHGGWNels5xHL3COcsyV5bly9IBqqpyWZb9RB0hhPweFNNv4JfEx7fDsvwthmGYxXPbtvOnKIpZWLdt+/S7vWIaInQr7xDTj8fDZVnmvVb828V07N0JId8PxfRJWGtdXdfJA9UdlsXLspwFQF3Xweeqqopa3X6dO5Tlq2jbdmGN/TUgpn3tfBgGZ4xxWZadVhfQRs/iSjGNuvGLgvKX350QQjF9Cn3fO2OMa9vWWWuf/n7nDVt1Xbssy1zXddHnHo+HM8asPvft3LksX0XXdasTsG8lJqbl38+aaFBMfwa//O6EEIrpw/R9nyRGNXexZmIQSFl+HceRgtrDXcryVUAwPh6Pdyfl5ayJaefc7PIhhVVZlk9uHuM4zu4PEODIU0xY9EeGUZbl7GKU5/nTBCfm5jGO42Jlqqqqp5WnmGuGDDvkRy5/q/uZoiicMcZrfPAJ07Zt53fUH1kPrbVPz1ZV5X0H33M6D6ZpcnVdzysOxhhX1/Wc7pR3x29j6U6JixByXyimD2CtnTu8rb876meLAecovkE+BnwDv9X3cStnlCUE2qdYtbZMwL6NFDGN/JG+09rCPE3T7EfdNI1r29ZVVTWHO03TQuzBN1sKsLIsXZ7nzhjjyrJ0bdu6pmnmv/vSCZGGv7VtO6ctz/OFcMP3vnqpw5bh1HU9pxfhaYGM//smZHgnnZ9IL1bTsBqIemitnScySAPEqTFmIZSbplmE2TSNy/N88a4wHugyyrLMFUWR/O5d13n96+W7p8ZFCLknFNMHQCf/Dl/is8T0nmXfPM/fciLAt/JpYvps14NP4iwxDcvz2mpGLK/xt9BRdyEx7VtJg3DTYj1VTDsXd3XQf4NFVwtFbJyUBgpjzJPbTMh67Xs3X5h5nq+KVBga9KQRBgUZT6qbByZROu4tcRFC7sdvjognYYx525mtZ4hpDDK+0wdiwKrzi5bJK/g0MQ1L6C9ylphG2yvLMrqMnyKmQ78PienQ5kktzK8U0zJ8aYyA1Vn2LVmWLSzuMr1S/Ev3Gv3Rwh2Th9Bkxlo7/0aHBYEr05QqpvHO8v22xkUIuR9fJablsig62WEY5g7szHNe4SudIkS1b2RRFK7rurnz3MMZYloe5yTTqJc7NRictorws9FpttbOPpNYyj7brxentiB8HJGG5d09HBHTMj3GmDmMruvmtnDmhE9OwHTcv+BDvUVM+6y8EkxKYTX1lX+KmA6xRUxD0Mm/XS2mYZ2X7cZnhfZZcpF3MryQ7zI+sv+XfubwVZeTEpRz7CPbVYqYDgnjrXERQu7H14hp+KM59+eG0HXdvLRXluVqhySP/UqJL0UAYcAoy3K2wKBTjVmVUuM/grQCNU3jrLULX84QvoE3Ja1bPmthS19luWSO7zBAxaznchBLEbLwa5STDYjLmJVrjSNiuqoq1/f9vGwOYd913ezTvyZykf6UyYDMaxyXiLL4hdWKLRsQZV6EhC/aHiZnev/FN4tp1E+IZxgodH3V/s3ot7TAlm3Z99F101rruq5bGFvwjLRmh8KTFvW18QD9qvZL3xMXIeR+fI2YlkAMbt0YuEVMp4iHkH+cc847GOxJ6xF8JwA4Fx9EASw6dwCTkzzPN4m5rWIaJxDogW1tuT01HUfcPCDq95y2skVMSyEj39fn2vCNrIlplINuG2vCV26eSxHhKWFuEdMQsrIvwKrPVWLaueWEHv+W7QuCu6qqOX9Cp1ygP9sDJon6hJKtBoNQG471qVvjIoTcj68T0+iYfBaANfaI6RgYHHQHijSmiP0rrLrO/VmifMdTpYrpo2L+LJDPW90Mtohp35I0yPM8aWKRspzr+6SgxcAWtohp37FvzlFMO7d0HdCrFCn9hW8vQux4ur1iOsvCGxB9m+pkmVpr52d12JjU+tphSGxCxMM6r+vvlmMY0Q/46iBWq0KgP5Txoyx9v8NqEIi9e4rf85a4CCH34x5q6EQgKq7230yxNIWst0jjkR3aRy3TchDTQDDFOvA7iWl9lNYVhPJky8QoxBmWad/GrbORG6U0EILffupA6DpxeWazLw90f4Ej0nAMWsh1AUKsKIr5uVCYmpCYRl3WR+PpuOUZytgTgFMwfGHL1RGkFe0lZrmVZz3rvINlWk8w8zx3dV0/beTTx/7JI+bkmADhjmd8kyA5+ZVH3vlWEGLvjjShrPGR77olLkLI/biHGjoR38aUK1gbyHy744FvOXMrR8V0KJ9ikwDJFjF9lXVdpvfqJVIMlJozJkZniGkMulcS23SbMgH7BkKXdEAYh95fn+fe9/2cZ6hbPtcFbPLEc/q0jdgk0tf/QFT2fT8LyNjlIMMweN0rQicZyc2/cnUwdjY5/uZ7F/jjQ6RqgazdrpBfUqBj/4ykqqqFSA9duoRNzvIilaqqgq4svncPXdrim4ykxkUIuRdfJ6ZfISqcW3eFCJ14EfKp3MpRMR2aDMTcGSRnvMMZbDlV5Qi+wc9aOw/aR0TkUTH9qglFyLpIn09yFfLEIc2rDCeEELLGV4npV4kK59Y3nPjEtDxK7OhRR0fFtM+yDHEYuuZXPncX8fSqAdX3vk3TzJsSj3BUTL9qQhGaQMY2qhFyBN9Z1ID1jhByF75KTMf8gK+KKyRg9EbIaZrmY9vgF4fNPHsGgyNi2rfxbhzHWRiu+ee9SrylgJWIvSdppAIL9DiO86QIx2rBQi+PZ9zCUTGNCcXeo/lSQZ3BO07TNLsgfLuvNHkPWCmDi4n2Jb7DhJ4QQr5KTENgXi0qnPvb7BI73q7rutn/raqq2boiN/zsTesRMd11nauqar44Rg5WKe4Kd7oBEfl4NfKkBnnZDsoBG9L2cFRMHz2aL4VpmubLhuQFRPTpJFcjz4KWPs53mMwTQohzXyamX80ZGwk/kV++TpoQQgghREIxfYDYrvZvJfXmR0IIIYSQX4Bi+iDwH/4Fn1H4e199hjchhBBCyKdAMX0Cfd87Y4xrmubyjXDvInbDFyGEEELIr0IxfRI42eAbfYmrqkrenEgIIYQQ8ktQTBNCCCGEELITimlCCCGEEEJ2QjFNCCGEEELITiimCSGEEEII2QnFNNmEtXa+Fv3XYV4wDwghhJCfENPjOLqqqlzTNO9OymHucLLGOI6HrkL/JpgXzANCCCG/zdeL6bZtnTHmqy5VeTweL3unLMuin1+CecE8IIQQQjRfPfo1TeOMMV+5BD2O49smCbRE/sG8YB4QQgj5bb5WTA/D8PJrvsuyfOmlLbiV8JWTBfrI/nFWXmRZ5tq2PSlVr4X1gRBCyK/ztWK6LEuX5/nL43z1DYh5nn/lrYu/xCeLaUIIIeTX+UoxPY6jy7LMPR6Pl8b7DjHdNM3LrdPkXCimCSGEkM/lK8U0BOYwDN6/t23r8jxfCO5hGFxZli7LMmeM2RXvGWJ6GAZXVdViU1dZlsGJAdxZrhJjfd+7oijmtFRV5bqu251HZ4ETWrIsc3meO2uts9bOG06vmExZa11d13P4eZ67tm1dXdeH8v9o+eG9UaeRtqqqTj/1ReZ7lmWuKArXdZ0riiLY3gghhJBv5ivFNESxj7ZtZ+ECF4mu61xd1/Nvq6raHe8RMT1Nk8uyzNV17ay1zrk/v+iQ2LLWzoI7JX2pzzrnXF3XLssy1zTNnB4IqaIoksJo23b1BAj9WUuf9NPtus5lWeb6vp+/wwRjzVqP+FKELDZ85nk+i0asgCD+vRwV0xD4SNc0TfMEKAbyKTbxlCCvy7KcRTrqZ5Zlcx0hhBBCfomvFNOp1mVjjDPGzEL6KEfFNISnFjZlWUbFGiyRKelLFdN9389CWgIBdpczuyHm8jzf7OqyRUwXReGMMU+WXuTpESF5VEz7ynQYhtUJzxYxPU2TM8Z4w9wyuSKEEEK+ja8V02uCEVZguAhsAQJqyydFLMHyt1Xcp57xu0VM53nujDFPeYM03uXcbljP97h0pJYN3tn3XJ7nyRtdt9aZVIsxymrrZGKLmEY+6+fkagohhBDyi/ysmIZAOtOv9gyfaSzPb/FBPfvCDFilfQIJouqdNzBKICSvBGWi3/ksIXnUMo3yQjhnu1vAlcg3abjb5IoQQgh5NT8rptc2Ke7hrNM85Ca6FHeKs8U03E18E40tllgZ1pk+02CLv/gRQm5DZwnJo2Lauf/+21h52OPyEgMWbN9egrtNrgghhJBX87Viek1cpmzQ2sqZR+PJTWQpG+nOPFM75LsN/+S7LOnDInv1sXI+wW6tnU/POCokz3wHlNHeTbQ+QifGYAPmq89zJ4QQQu7EV4rp2Gkezl1n0Twipn1uHSFRK7niXXzxyiPRXn1+d4grVhd8+PK3aZp5U+IZ4e8R0zjBxBfemfXBJ6blMYFnCndCCCHk0/hKMb0mskInVRzliJjWR47BMu3bBCi5wjoL9wWIJJzBjbi6rpvdCt55HBos91enARbocRxnEdl13eKWTXnk4lb2lh8mPdLNZO0oxT3ozbrTNM3HEGKlwlrrqqriWdOEEEJ+jq8U02vHt0GEHDkb2MdeMT1Nk6vrenE5Cix+ay4eV92AiHCNMfM509M0zcIyJW1X86oj2cZxnN9briCgHuHylr3sFb8Q9PCvR/qucHvBRT0oe0z6sApUFMXp7YkQQgj5BL5STDu3faPcp2KMefkV5oQQQggh5D9fK6Zhnb6Lf+8VpPhUE0IIIYSQ6/haMe3cf1eFPZdZfALwV/3myQIhhBBCyN35ajHt3N+Zzd8kOrHJ7JveiRBCCCHkE/l6Me3cf5ePqqpOP73jHVRV5eq65iUZhBBCCCE34CfENCGEEEIIIVdAMU0IIYQQQshOKKYJIYQQQgjZCcU0IYQQQgghO6GYJoQQQgghZCcU04QQQgghhOyEYpoQQgghhJCdUEwTQgghhBCyE4ppQgghhBBCdvIPh8xYiTS4i50AAAAASUVORK5CYII=[/img][/center]Achtung: Multiplikation zweier Vektoren ist noch nicht definiert [/b]- noch ein wenig Geduld!
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Information: Rechnen mit Vektoren