En buena parte de lo que resta del estudio del cálculo se emplea el sistema de coordenadas tridimensional.[br]Antes de extender el concepto de vector a tres dimensiones, se debe poder identificar puntos en el sistema de coordenadas tridimensional. Se puede construir este sistema trazando en el origen un eje z perpendicular al eje x y al eje y. Tomados por pares, los ejes determinan tres planos coordenados: el plano xy, el plano xz y el plano yz. Estos tres planos coordenados dividen el espacio tridimensional en ocho octantes. El primer octante es en el que todas las coordenadas son positivas. En este sistema tridimensional, un punto P en el espacio está determinado por una terna ordenada (x, y, z) donde x, y y z 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[/img][br] 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TIPPN3+9l+acFsUbcbx1B/G3XSrjdyTgxmAAZv11sekZ2Sw/8BBrl3Lw8PDHZPJzID+fTl//gKtW7dyzT3DhCbH9QLWcpn4k3JCH3a76Q4D8buKGfvIMLyqe5ytkIykZHLMVZfJk/tH0m30S3wy+nl0u//FE6//g60DPmBCTdcHzGn89PG7LF9xnF2hI/j04XYokKMOU5MWexQQAVsTs9lMcXEJW7ZuIyIigtatQoiKisTN7eafZWOQE9xjDJN6AKbdHI+zMqh/ZMUvfM8eMfTsEUNKSiqxq9YwcsQwSoylHD9xksspqdw3vsZVCwSh3lwvYK0FFBiUaFQ3FtVs5O5fRWKvp1nYrobuq2Qg/XQCZw1VA1YR4U2n6GAUKNGOeJ7nhj/JsXQLBNbwrVFFMvrFTxky5E2mv7udKw+2Ky9HeHqiMhQ0ykt0XUZS92/lQFYod90/iPCbpkfFrd+ITAbtoqMpLCpk/8FDBAUFEhQUZN9muY/gzeW3DszNy8tnzbo4pk+bTLvoaPu2wcG83h4BClGucjbXC1ilGk2giWKDFa5/kC86sY5NhcOZMy4EuSGLLKsWDTnkuWlR/9qdVYQyeNZCBtd6civWoB70jlaCtRDdNSVaTbX9Ybw7dKBrZACBv+a50YglSN04r9El2SiI38a+HB+Uh//Oi+n/ZPlvu1T8gv2yZx9FBgOenp506tTB6R/BTSYT361YyfBhdzW7cAWQedrjU4HQUK4XsIooBg9QsTS1FHqrKE74mCefWYbeL5BV79kwKQbx+srnOPDCA/zH7WX2fjCt9vPZdMS9/AzbAkfSX6siYPg8JvtA/tqXmfwvN3638T2masp7AtaUWP74jyTajuyGh66Ysc/Owrf8HrJS9bQfNNDer74Jk+PfdzIP9QWT+gQnLvtU7L4iSRIFBQXMnD6NL79a6tRWAthsNlatWUfbNlH079fX2c0RmjHXC1hU9JzzED5L9pE/eTwBvZ/i231P3XrYR7HYlp2r+3RyLRPffJ+YTAvBUeHlF7GAgKkf8Z11GeeVlR+zFG0m8+IrPclBTZs26soFQqyZ7LnUiQWvhd/xq3NtNvISVvD2B0m0etGvImBlMhkPTLjPqS270bYffwZJYtzY0c5uit2YVp5D3tobt2Et/XfSuVyySKOImM7zo/LZuj+zhiNMpCdcoduk+v0Byb1b0a5DZbgCmNITyOw+iVFVLna5E9ymM51uDFeMXN65C5+HfssI/wa/lGZGTmDPyTz5SAQ7/m8pFxo+ILnejKn7WffdWg6mmxr0uKPxx0i+fJnp06Y02cWyG4Pll3SsJ/XObkaL56K/YXI0Q2cztUNNdSZ3IvoNpXPg7b8894h+DOkSWPc3yGTAq+9sJvfyu+3nalbkXkSMnMk90XLsta2hreAYP+7JxUdxhH88/yln6xnkycmX2bV7Dw89OBMPDw87tU4QKrlgiaCSu0bj7CaAu4aQmhYTbVEsnI/9J2uKutMzMBftpAfpaKffLrl/HybN6QOmYE4mXMa7HutK5+TksjZuAzOmTyEwsPnP0Ze3DUDeytvZzWjxXDpgG0NpaSmv/v4Vzp07x5y5c5j98MPObpKLUtJx0hPMySrFt3U4AXZ+07HlJbDyHx+S1PoF6lpmwGg08n3sSkbdM5KoyEj7NqyJ8Hyxn7ObICAClj+9/job1q8H4I+vvU5YeDjDR7j4YqbO4qEmolFXyLOSsvVTYo8VVJYbZO50nvJbJnfpycRnFnLuyX/wzbgVLO5c+aucl5ePv78fcrkcq9VK7Ko1dO7UkV69ejRm4wShTi0+YFMup1T5OjU11UktEW6loM34p/n9+Orv9YoYyfRRP7LrpmLv6jXr0On1BAUFUVZWhkIhJzIygvz8AgICWvyVSMGBWnzAPrpoEccTEq5vyRzFmLFiimRTZzm/krdXFdGtVwDXtJOY2anqr/FjixZisVjYsXMXZxKT6NihE0eOHkOn0/HAhPvp0L6dk1ruOCVv7kfRLgD3OU1/g8bmrMUH7Njx41jx9hKSXotjzKpX0WibwIUzoVbKjpN4fN5VSn1bE1ZDsffy5RROn0nk0YUL8PdveSM8JH0JktrT2c1o8Vp8wAL07NuLTsNNeItwdRHuBNdS7NXpdMRt2MTsB2e0yHAVmg4RsICijT/en49xdjNaBJvNhtFotNtaBMXFxXwfu4rxY0cTHhZml+dwBW73t0OuET1YZ5NJkmSv8eCCUEV6egZLln6DSqVCpVLRqlUI940bS2Bg44StxWLh62XLiW7blpF3D2+UcwrCnRA9WKGR2Mj+6TO+z9SgTlnFsqsz+Orj6YRenwpXVFTEqjVr8fLy4rFHFwCQla3Dy6vxelkbNm3Bz8+Pu0cMa7RzCsKdcNGpso3LejaXwpGxzm6Gy1P2nMHi+dOZ88qT9M8/R+b1KaySJLFy1Vr69+uHm1v5e3pAQACdO3XE3b1xZiTs2buP3JxcJk+cgExWj6ldzZxNV4KtoGHrNAiNTwQsIFkkpByjs5vh4uQEa9UoAKsuA0X/McRcXzxHJpMxbtxoht01xC7PnJh0lqPxCcx+cIaddkdwPca/7Mf8baKzm9HiiYAVGpdNx96f5Ex8rD839k3DQkPt8nSZV6+yecsPzJ41Ax8fH7s8hyDcLhGwgLy1Nx6/6+/sZjQDhZzevBvVuFn09SuhuKRxzy5JEjdeky0qKmJF7GoeuH88rVqFNO6TCUIjcOhFruTLlzl69BghIVq0Wi0hWg2BgYH1rpklJJxAkiT69OlV98ENIA/2xH1+t0Y9Z8tjIOHDp3j9Bxkh6s18Ygpj2ntvMcmr8d7Dr2ZlsfTrb9FqNGi1Gi4lX6ZTxw60a9f8tny5Ux4vD0DmIa5hO5tDh2kZDAZSUlLJ1unR6XRk63QYjaVo1Gq0IRpCtFpCtFq0Wg1eXlX3wkpJSWX12jgWzp9DcHCwo5osNLJ33/+QBfPm3PY4WJPJxNWsbH744UfKyspw93BHn6lDna9kjqEHbqOjUM3o1MitFoTb49C3OB8fH7p370b3G24zmUzodHqydTqys3UkJp4lW6fDzc2NEK0GrVaLt5cXe/cfYPrUyXYJV6nUgu1yAYouIribOnd3d5KTk3F3d+exRQtRKBRY841cO5qG4mIpkslacaxkkzBMjkPRJQhFdw1uY9sg11a/iaUg2IPTP0O4u7sTERFORETVvYMKCgrR6XRkXMnkl737cHd3Z8XK1QQE+F/v5WorAjggwP+OhuZYL+ZTPHsT/qcW3OnLEezs5MlTnDqdyGOPLkChKN/SVxHgiWZUJxh108E2CfcnemI9qadsazKKToEVAWs5dJWy7akoemjK/4tsXlNqy3alIwvyQNlDTP92JqcHbE38/f3w8fFm34GD9Ovbh9Gj7sFqtZKTk3u9vKAn/lgC2TodpaWm8rrcTWUGT08xVbA5SU/PYNtP21kw7+FbSkjVkSnlqO6PhvurqdF6KJAKTJg+Po5NV4L/0bkVd5l/uIzMxw1FjAa5v2tuV2FefQ5Fl2ARsE7WZAMWYN/+A3h6eDDq3pEAKBQKQkK0hIRoibnhuNLS0iplhtOnE9Hp9ahUqopebkhIeY9XrVZX9HzqYrVaWRe3gTGjR+Hn52uHVyjUV35+AStXr2HK5IloGmGrIGVPLcqe2mrvsxzIpOynVKxncvB8sT+efxoMgGSyYL2Qj6JzEDKlGIAj1K1JB+zgQQMB6vz47+HhQWRkBJGREVVuz88vqLiYdv7CRfbu209eXj6BgQE3lRmC8V0/+Zbzbty8BZsk4esrxlc6k8lk4rsVK7lr6BDaO2DEgNebQ+HNoeVDwoyVOyra0oswzNyILbUQRYcAfDZMqSgtSCYLMvem8+ck81Eh82w67WmpmvRP4E5n5QQE+BMQ4E/Hjh0qbrNarej1ORVlhsNH49HpdJjNZRXDf0JCtOj0eq5ezWLRIwvE1EsnkiSJNWvjiIqMYOAAx45Vlslk4FX5O6hoH0hA4kKkUgvWxNwqmwoa/7wf0+cnUcSocRvbFs8/DHRoW2/m9Q+x2E1T0MRW07KgP32A0zoZ2u6D6KZ1XP4bjUaydTp0Oj3nL1zk8uUUFAoFnp6et5QZgoOD611mECpZLBb+9e936NSxA5GREbRqFULrVq1QKmv+OW/78WeydTrmPPQgcnnT/lhu05dgPZWDVGpBdV9lT7ug3zLk4b4oYtS4z+6CoqsYrdJSNKkerPnIu7yXNIs3HzKz9NV3Kf3r7+irsv/z2vQlyOIu0uaxHnh5erH7l70sXDCXsNDQKmWGs+fO88ueveTnFxAUFFQZvNd7vX5+zetK9G0xZ3P8eD7tB3Ti5sLKpi1bkSQbanUwV7OySDh+gqmTJ6JWq6s9VfyxBC5cvMiiRxY0+XAFkGu8kN9z6661Pt9PwHoqB8spPVJxWcXtZQcyMX12AkWMBmWMGuWoKGRy8WmpOWlSAWvN15F08jT66WGU4omng/6mbNklmN4/hurR7sSuWsO4MaMqFmsODAwgMDCATp06VhxvsViulxnKL6wdPHwEnU6HxWKl31kfyu4LR92mVcVohoasGFVQUMiBg4cYN3Z0o79O+zNwefv7/PGbNnz8bSd8bujkHz5ylKysbLy8vOjZI6bOiQaXU1LYuesXHlkwFw8PDzu3274UHQJRdAhENbVD1duj/HAbFo7ldA6lO9PwGR1VcZ/p20QwWVHEqFF0VyPzali5rPSjBORRfijvCkPm5y6C20maVMB63vMsj2xbxOwZ3Xnig3/Q1cGtk8vlPDx7FkFBgbUep1Qqad26Fa1bt6pye+GHRzHtOUbKw4FkXr1KwvET6PU5eHl5VVtmuLlXZjab+T52JT17xOCafGg7og9R316rcqskSaSmpjFrxnS+XvZttY/cuesXsrOz0Wq1eHl68svefUyfNpmgoCBHNNwp5KE+uD8aQ01vv2V7Myj95DjKYeF4v1M+kkay2ChbfxFFjBp5+8Aag9OalItUZsX490N4PN0L94fF5ofO4JyAtaaw7ZMVJBTYKm9z78LE2T6kRD3OS6GreO/N5fRbMp/2Dih1ylRyZKHlH2jrCtfauAd74711Jpp2lb0zSZLIy8sjW6e/PlMtiZ27fqGwsJDg4KCK0QxajZpDR+Jp3bpVxegJl1TNBUGZTMaM6VNrfVjvXj3JvHqVzMxMdu7ejZubiu9XrCIoKIh+fXvTv19fe7W4SXKf07XaHWGl/FJM3yZiPanHpivB75cHUfYuX+imbGca+Klw69sKSZIwL09C0TFIhKsTOSdgFW0Y+8wrVN0g20bW10+SEv0uT48fgeX5P7ArYw7to+yfsIqOQfhtm37H53Gf3eWW22QyGUFBQQQFBdGlc+Uc+bKyMvT6nIoLa0ePxlNYVIRKpSLv2rfXF8TRVJQZVCoHFKOdKCDAHz8/X44ePUbfPn0YM/reilKMQtH066+OIld74buufEihZDCDe+Xfh/H/DmHZkVb+hUIGPircH+uJJSEbRTc1MpW4MOtoTahEIEc9aCjusZuIjwqloP1ohoc1/V8IW4EJrDbkQQ2bNebm5kZoaGtCQ1tz6vQZks6e44XnFgOQnV1+US0j4wrxxxLIycnF29v7ljJDUFCQS1z8qa8tW7fh5qZk9Kh7gMpSjFA9mU/VN12/H2cAUDRjA2VxF3FfFINlTwamD46hmtsVz5cHOKOZLVoTClhQdprHX1/KIeOagu6Lh9ZYm2oqJKuN4gc3oRwSiucfB9/WOfLz8/lh20/Mm/MQ3t7l4yqjo9sSHd228nkkiWvXrlWUGU6fPsN2nZ6ioiLU6uCKXm558GobvPD0yVOnkctkdO9+p0s2GslMOMtVfRGn0w1EtKl/Ow4dPkJ6xhUeXThPjDu+A2X7rlD2Ywre6ybhPqGds5vT4jWxcbDOYb1cgPHP+/D5+r4GPa74uR3YzuXhs2kKsjv4GJufn39by/eZzeaKMkN2tq5iVINMJqtSXvj1/9VN3EhLT/nONQ4AACAASURBVCd25RoWzHu4Uaag1qW65QovXrzE+o2bWfTIfPz9/e3ehuas5I97Ud4Vhmps27oPFuyuSfVgnUUqLsN6TNewx5gsSMVleK+YcEfhCtz22qgqlYqwsFDCwqpux2IwGCrKDGlp6Rw5Gk9OTi6+vr4VY3a1Wi0e7h6sjYtrtPn9t0On07Nu/UZmz5ohwvUOSAYzyGR4vXWXs5si3EAE7G2SuSvx+d/Yug+sjS2fk79cpNXwfmgbsZTq4+ODj49PlZX+bTZbeZkhu3yK8PHjJ7iUfBmZTMaOnbs4cyaxSpnh13KFPRUXF/N97KryccfhYXZ/vuZKskkYHt6MckBrPF8b5OzmCDcQAQvIgzxQzazfKvhSSVmDB31Xz0bOrnd5/b/uvDGkH1o7DxKQy+Wo1WrUajVdutj4bsVK+vbpzah7R1ZZiezcuQtk63TI5fKKsP01eDVqdaPt2mq1WoldtYYeMd2Iiele9wOEGhlf3YNkKMPjZbGvXFMjApbyAd/1uUhlKzBROOQ7fL4ah3JA6zt6Tlv2Trboo+jul31H57kde/cdAEli3NjRyOVywsPDbulBFhYWVSyIk5KSyqHDR8jNvYafn1+VMkND91X71YZNm/H18eHuEWJRkjshlVqwJufjs+oBZG5Nf9RNSyMCtp4kq43i2ZtwGxV1x+GK9Qo7tpUwZFo0lzY4PmD79+vDwAH9ah3i5efni5+fL+3bV16Jttls5ObmVikzZOv0lJSUoNGobxnNUNOi2EeOxpOjz2XB/DlixMAdknko8V050dnNEGogApbyGhalllo/+lsTdKBS4PXfu+t5VispWz8l9lgBFcM0ZO50nrKYAUlfsLOwG/22HCYtN5mDR9LoOTTSYT+M293pQS6Xo9Fo0Gg0te6rlpR0jmydDqVSWbXMoNViNpdx8tRpHl/0aKOVG1oiqcwqeqwuQAzTAiyncxy4J5eN3JM/s/eiAZv1Ehu+vEC/P77OE3YN2BJS9v3AYX0og8cNIsJBa6f8uq9a9vXwzbySybW8PHx9fYmICK+yGllAQIDozdaTZDBTOCIW7y/GVEyTFZom0YN1ODnBPcYwqQdg2s3xOCuD+tszXG1k//Q1cZka1CnvsOiHGXz18XRCHTABzN/fD39/Pzp0aE9RkYEvlnyFp6cnEx+4D2OJkWydnmM37Kv2a5nhxmnCYl+1qiRJwjB3C8p+ISJcXYAI2FpYL+VTPG8Lvjtn2Wcet/sI3lw+ovHPexNlzxksHq1GYVJzdv4+Mi0Q6sClDcrKyvg+diX9+/XlaPwx1MHBBLQLqNe+am5ubhVTg7XXN7TUaOq/r9qvjEYjp88kuvyiMZYDmUiGMrxW3uvspgj1IAKW8nU5vd6/p8ptUqGJoknr8Himj4svkiEnWFu+oLVVl4Gi/xhiHBiukiQRt34jWo2Gu4YO4Wj8sWqPq3tfNT0XLl5i3/4D5OWVz3y7OXgDAqqfqPDrkLCw0NBq73clbkPCUP44XZRTXIQIWEDmq8JtZNWV6I3/OYrbPZF4/Kank1p1G2pYBnLyc1PoLNex9yc5Ex/r79A1Hnbt/oUig4H5cx++rcfXZ1+1o0fjydbpMJnMFaWFG8sM2376ucruxK5OhKvrEBe5aiBZbCDjjqfBNg2FnN64jaK+UxkcaqK4xAvv6kdQNapTp06zY9duHnt0YcWQrerWImgsRqOxssyg06HL1nM1KwtJkmjbJopWrUIqertqtevsq2ZNK6TkNz/hs36yGDngYkQPlvJyQNmBTFRj2yJJEjKZrBnte28g4cOneP0HGSHqzXxiCmPae28xycu+ry8j4wo//Pgz8+c+XON42Mbm6elJVFQkUVHln0bOnj3H5q3bmDl9KiUlJWTr9Jw7f4E9e/eRn19AYGDgLWUGf/+mta+aVFyGYVIcqrldRbi6IBGwgDWtCOPvdmNNzMX0yQkCzj/q7CY1Ih96P/Mtm59x3DMWFBQQu2oNkyc9gFbrnEVksrN1bNy8lYcfmkVo6/KJIbXtq3bo+r5qZWWWyjJDsBptaAghWm2D9lX7VWpqGv7+fnfUWzf+9QDK/q3wfKHfbZ9DcJ4WG7BSqaW8BOBe/i2Qis0YX96N57/rO5FAqI7ZbOa7FSsZOmQQHdo7bz3SoKBAZs2cVhGuN6tpX7WSkhJ0Oj3GL04g25fAj3Pc0On1eHl5Vu4gfH2bH7X61n3VfpWTk8vK1WuZNWPaHQWs558GQ7P5NNXytNiALduehmHWRhRt/ZGFemNLLULeW4vbmDbObprLkiSJ1WvjiAgPZ9BA566e7+bmRmRERN0H3sTLy4uwFDmGL6/g98uDdO4QeH1ftfyKi2qJZ8+x65c9FBQUlm/fflOZwc1Nyfexqxh1z8hbRkU0lMxTzHZzZS02YFX3RxN47RksJ3QUz90CWg9syfkUxixFpvUiMPNJACSzFesJPYruweKX/SbZ2dmcPXfh+kdqDUeOHsNSZuG+8Xe4jKOTGf9+EJ/v7kfRoXwDzPJ91QIJCgqk8w37qlksFnR6Pbrs8jLDpeRD6HQ6jMZSvL29uZqVhe2YraLkUN991SyHrmI5fBWPxX3s8voEx2mxAQsgUykwfZiAoocG/9gHKoa/WK8UVRxjyzRQ/MSPWM/lIQ/3wXfrNBTR5R/5pOIy8FS22D3nFQoFFksZCcdPkJFxBXORkeASFWvPfklYh0gGL3DNoPXdVr9xpkqlktDWrauUIbZs3UZOTg5DhwxGn5NDxpUrHDt2HH1ODt7eXreUGYKDq+6rZk0vpGj6Brw/G22X1yY4VosOWMvRLKwX8vHbPqPKH5QizLfy32388T82D8liw3YhD3l45X3Gfx+h9N9HUHQJxm18W7zeHOrQ9jubWq3m3ntGkpKSyuq1cTw6/SFMF3PJvpBBaUlpxXGSsQzDQ5tRxKiRPC3lG0U2/iitRnO740zjjyVwOSWFRxfOx8PDo8qC5+X7quVdLzPoOJ2YhG7XbgoLy/dV02o1hGg0tH86CdWT3VHdF13LM9Xs9JlEOrRvd1sX5YTG1+LHwUpW2x2NdZWKzFhO54DBjNvoyvptQY+lyFp5o4hR4z63G8pe2sZobpNz7do1lixdxrSpk2jbpvr6tWSyULYpGcvpHD617GPe/dNQDyoPkLI9GVgOXUURo0bZQ4O8dcM2bGwsxYu34za+7W0HG8CVK5l4enoQFBRU78eUlZVVKTMUJ2SS7JaHJEmVoxm0WrQhGrSa2rdvP5OYxE8/b2fRIwsavPGlYB8tPmDtxXalCMupHKyncnAbGYGyX/nV6rL9Vyh9Jx5ldzWKGA1uE9u57Jjb0tJSvliylMGDBtK3T+86j7fZbPzz7f/SI6YbUVFRtAoJwf+iCfPKc1hP5UCpBb89syuON29ORh7sgaK7+pYtqhv1dbwTj+nr0/jtnW3X52kIg8FQPlnihvUZyvdV87mlzBAUFMjVrCy++34l8+bMJiRELALTVIiAdTCbvoSyHWlYT+dgPXsNn5WVtV/TklNIRWYUMRoUPTXIg5vuSlI2m41vv1tBiFbL2DGj6vWYrT/8SPyxBPr360t+QQFZWdnMnjUdrbb63n3J73ZR9ksG1qRcvN66C4/nyhdqkUrKsKUWIu8YeMcz7ayphRQNX4HvngdRRDatSQY3K99XrbLMkK3To9PpsGYaaH8c8maH06FDu4r1d0Uv1vlEwDYh5nUXysP3lB7lgNZ4/at8pS3JasO8LLE8eLsGNYnRDJu3/EBBQQGzH5xZr5rl8RMn2bN3PxZLGQvnz23Q2FDJJoHJUvG6LSf1GGZswHbFgKJjIL4/TkeuLp8tJpVakHk07NKCZDA3mZ5rQ5kKSkjr9Rkld6uxLo6pnCas01fZvv3GMoNY6NxxRMC6AFt+KSXP7sB6Kgfr+Tz8dsxEObD8yrXtShGS0YI8OsBhoxkOHT7CsYTjPLJgXr0upkiSxPLvVjB2zGiWf7+i0dYikErKsJ7JRdEvpCLki5/5GfOKcyhi1KgmtsfjeddenrA2kiRxeuRnuMkVdN7x2C33FxX9WmaoDN2cnFz8/HyrLTPczsU9i8VCekZGjfX3lk4ErIu5eREa07JEjG/sw5ZjxG1kBL7rp1QeW1yGzLtxeysXL15i/cZNPLpwQY3LA9bGnou9/MqmK8F6Sg8SuI2KAso/BRTEfI2iYyDyLkFIKYV4fToaub9rX20/v/og0ff1RulVv9dRvq/atVvKDMXFJWjUarQhN/R4tZpat2+XJIk169Yjl8uZOlnsC1YdEbDNhFRkxpZRhKJLcMVtBb2/wZZdjCJGg8fi3qgm3NnUVb1ez9JvlvPgzOlERITf1jkcEbDVkSQJ28V8rKdyML65H1m4L36bpwJQ9nMqpmVnUHTXoOihRjW2rUPb1hSYTKby0Qw6/fVNLct7vAqFosqear+WGZRKJTt3/ULy5cvMn/swSmWLHvFZI/FdaSZkvqoq4QrgnzAPW0b5aAZ5ZOX4XcvBTAwLfygfGtVdg8cLfeusQZaUlPDdilWMHTPqtsPVmWQyGYoOgZRtTwNvN3zXVPa4FJ2DcLs7EstpPdajWVUCtvTzk+XHxKhRxth3NEN9WeKzkXkrUXQOrvvgenJ3dyciPJyI8Ko/28LCoooyQ3JKCgcOHebatWt4eLhjMpkY0L8fFy9eQqvVEhgo9lW7mQjYZk4e7ovqhskRAIp+rfBZPbG8pns6B27YscH4n6NYz+ZypbMMW6cAWt/VER8fH1asXE1M9670iOl+81O4FPe5XVFN61DlQpg83Bf3hd2rXYhc5q6gbE8Gpi9O4nZfW7z+XD6ZRCopw7zxEsoYTfloBgcNtbNdKaJoShzeH41q1ICtya/bt9+4cE9KaiqxK9cwYvhwSkuNHDt+Ap1OR0mJEa1Gc0uZ4eblKk0mE8XFJQQFBdb+5DYTBqMMH28lptIy3D1cr5wjArYFkinlKLupUXZT33Kf25goZD5u5F1M5HxJMjkXD1FcXIy7uwq1OphDh4/QLjoatdr+f9z2IPN2a1Bd2n1+N9znd7vldinfhHn1eYxv7MeWXoT/sbkoOpVPMLBlFIEM5GG+tzzuTkglZRRNisNjcR9UDzhnpbK8vHzWrI1j2tTJtG9XdVJGaWlplTLDmcQkdDo9bm7Kiotpv+6ptnnLVqKj2zJo4IAa6rwlZOz/hFf/580bn48n/q9rCf/j8wxxsYwVNVihVnv3HeD0mTOMHnUv165dQ6fTEx3dli43LHrSEM6owVrTCynbmoLH4z3scn7JWAbulWtSlH5wDOPfDoJFwm1SO3y+HFd57G0MI6t4bJkV83dnqw18RyksLCItPZ3u3brW+zEFBQUVF9Oyr4dvTk5OxeL2ffv2ZujgQdX8TuSz4bcvoXvhHfqnJxI5ZACBLjYnR/RghRqdPXuOI0ePsuiRBfj6+tIu2vUu/kgGM4aJ5TsC2MvN45I9FvfBY3EfbLoSbPqSKvfld/wSmVKOIkaNx4v9cRtecz1bkiR++vEnDIYi7rv/fjw8PJwarlBeMmhIuAL4+/vj7+9Pxw7tATh3/gLbd+zE3d0dpUKBu0rF2XPnad2qFWFhoTdcMPNjUD8Ff9t2mG4jh7pcuIIIWKEGWVnZbNy8lTkPPYivb+N+1HUkw/ytKAc4Z0cAudYLubZq/TEg5XFsyflYT+YgD6m8r+ynFEpe/gVFjBpFdzUez/fln2//iy8+/xyA9evi+PzLL5y2iItFd4aDp7ORaWMY2F1zR8HRtk0UT/3m8XocKScgpiO2TR50beditYHrXPA9QbA3g8HA97GruP++cbes+O9qPF7sh9eH9zq7GRVkchmK9oGopnaoqNkCKIeH4/3FWNzuiUS6VoqkkLHkiy8q7t+3dy8Xzp93RpPBfIT3340nasRwWh/4N+/Hm+/odPVdFxes5ElDefa5Ifi7aFKJHqxQhcVi4fvYVfTr25uuXTo7uzl3zG1ImLObUC8ydyXKviEo+1Yu1BIdHc3FixeB8p0WQkKc9GZnzUeXeJIz+umElYKHh/3Tzpq2hv+usHDPw1Po68JLKrjo+4JQJ2MqB9Z+x7oDGZjq+RBJkohbvxF1cDDD7nLdtW3LDmRiTS90djPu2FfLvmHoXXfRs1cvvlr2DRonbSCJ5z0sXgTvz5jJMvUTPN7N/v0yReQ0Xnp5Fn3DnD/u+E6IUQTNka2AYxs2keml5MAHq2n1r+9Z3KXuP4pdu38hOTmFeXMfssvMnIKCQt774CP8/HwJCw2lVatW9Onds9bpmA1lvZhH4bAV+Hw/Abe772w/LOE6WzY/f7SSomgLa945zphPljCvg9hCvD5EiaA5kvvTZ/LD9MFE8InjpPjUPbvm9OkznDh5ikWPLLBLuFosFmJXrcbdXcXECfdRXGIkKyuLxnx/t+WVUvTAOjzfGirCtRHZdD+w5nI0/108nuFlz/P6zgzmdYhydrNcggjY5sqWx/EV/+SjxFY871d7wGZcucLWbT8xf+5DjdqbvNHGTVtQBwdTUlJCUFAQ0dEBxHRv3CFHMncFnq8Owt2OQ7JaIrl6EEM8Ytkc34bQwvbcO8I16tpNgajBNlfyQHpMfpoFEdv559KqV5+zs3VYrVag/GP7ylVrmDxxQo0LX98pSZIICwvlgQn32eX8v5J5uYlwtQdlJ+b+/SVGagPoMnMx0zuJfll9ie9UMyb3iuDumffy087Kj+Fms5k16+LIy8vH398P65Ui2hT7YNyZgu6aDM2A6EZfsEMmkzGgv/3GoVqOZaPs0zS3SbFkJ3FJ1olOWjkUp5KUFUindn716NmYyT13jNOGMAb0jaCmvS1MWcc5kAQdB/ci1MNI+tlM/Du2w6/Ru06eBEeInmtDiR5sc2Q5z6q//Y0lcZvZcFjLxFmV01pVKhVP/eZxfv/SC/j4+KANUuMV7MeJi0ks37SWa9fyKo41LT2NeXMy1rSme0XevOkSRRPXYcs1OrsptzCdj2PJbhvhWjmW7Hi+fO4h/rA+A1tdDyxOZMWfXuXrc0H06V1zuFrOf8OfPkomIjqTb974iiSTJ6EBGaz8Yge6Op9EcATRg22OlB2Z+MQ8rpb60jo8oNpVonbu2o0MGTOfm4dCUf0VYWtKAdbYc1hO6fF8qT8evy3fHcCWV4r1TA6KGI1TF6y2nNRT/Og2fDdMaXr7l1mS+OrDJHr8czLeACG9mTC0HZuv1fE4WxabXv8zJ8Z+zN/GqWvpARXy88ffIX9gPe2iYLhqGp9uncJ7k4cxOeg13tkYw1uTNKIH5WTi+99MuasjaFNDuCYknODsufPMnDG1xnAF8PrzUHy3TiMw4ze4P9un4nZbSgElL+0mP+Iz8tt8jlRUObPHlmtEKrPWeM7WrVs32igF6Vop3h+Nqtg+pykx7vuWLco+9L4h9+uzpY/pyOd8kNSWzrmr+fSrn7hYUsOB5iSOnPIgLEIBKAkN8+RMfBIgJ2hQBzKWryK55h+D4CAiYFuY1NQ0tu/cxUMPzsTTs/69vhvrssreIfgfeJjAgsX47pyFzLdyMLjxLwfIC/iQgp5fY/zHoVvOM2vGtEbb7dTt7ghU0zs2yrkal4XLR08iD4ugYRv2WLi09xAlbfsxYtJ0el99n0WvbCS3uo/7tkKKDB54esoBGUqFghJDEQBydRjq1CPE59/5KxHujAjYFuTatTxWrVnH1CkTCQ6+8/VcZTIZirZV9+Xyfu8eAnOfxnvpuIr9sKB8Sb88zUcUjlhB8TM/Yz1X12fl6kmSRMnre6v0mpseKwX5BpQqFQ27XGjDWGpB3TGGcB81A+dNJvz4QZLKqjlUHkSQv4nSUgmwUVxcin/w9bUNZB54qoopNIgurLOJgG0hSktL+T52JXePGEZ0W/suOyjzUKLsHYKyX+XceZmnG/5JC/H88xAUHYOq7KJgXn2eoonrKHl9L+ZV52o9d9HIWEyfngD3pjyTSIlaG0BpcRG1RZy1QEdOlRKAivY9O2O6mo4ZkHt74hMWQajSSqFOT9VDuzK4XxkpF0sBE5dTy+h71/UhalIpRmsgwQFN+XvUMoiAdVW2fE7uOlqvq8U2m41Va9bRLjqafn371P0AO5GrvXAbGYnHs32q9HyVw8JwX9gdmap8e5ZfSSYL+d2/onD0Kkr+uJeimRuwHMjEd8+DyFRNOTwURA0ZiCo9rWIdCFvuefafvoL+3CHO6KxAPht+/wCTf7+myiP9xz3LQtlWlmyPZ3tsCn2fe4joovW8MmEif1ijv+FIT+568jG8tv+PTRuXsk/9JE8OK1/+0Jqdgr79IAa47iqTzYZYi8Al2cjZ8Rce+a87b6z9A33rWA9jy9Zt5OXlMfvBmcjlrvOeKpmtGF/dQ9n+TKxnc6HADB5KlH20KHpp8Xx9EPIQ+8w8u2PWDFa9ugTfP/yJcTVt3mBNYc2yc0xbMPamO4zkpGRiUbellY/8+qGr+fbsvcwfd9M+VkY9KXo5rSODr1/QtJL+zat8E/Ear430a9zXJDSY6/y1CRVs2TvZoo+iex1TYAEOHzlKSmoq06dNcalwBZCpFHj9+258lt1Xsc1KQMYTeP71LhTtA5B5NuFRhopwpr14L/mb95Npqe4AE+kJV+g2aXQ193mibtOuIlwpTef4lW5MHFPNJoGeGtpUhCsYk3ey23c2z4pwbRJED9bVWK/w8/JjtJnmx7LHDzDxq1cqerBlZWUoFIqKIL2UnEzc+o08unC+Q/fAakySsYyCvt/i8ds+WE/o8P64ukBqwkx69MZgNAGOeHMzkZNdQkBIoBjg3kSIn4NLsZG5/gt2Fnaj35bDpOUmc/BIGj2HRqIETpw8xbYffyYoKIgAfz8up6QyYvhd0MBr2U2JzNMN789G4zas5r2rmjR3DRqHzcVwRx3imlurNFciYF2Me/vBDMCArZrL0/369qFnjxgyMq6wem0cUZGRXL6cwqHDR1AHq5k39yHHN7gRuGy4Ci2eCFiXIie4xxgm9QBMuzkeZ2VQ/8gqP0S5XM7uX/bSp3dP7r1nZMXtFku1hUCXIhWXIfNu2NB9QXAmUYNtZtZv3ERpqYmZ06c2+qpYziRJEnnK/xJkfdHZTRGEenOty8pCrfYfOEhWVjZTJ09sVuEqCK5KBGwzce78BQ4eOsLsWTNxcxMfowWhKRAB2wxkZWWzYeNmHpw5HT+/5jl9RyaT4bNukrObIQgNImqwTY0tl3MHjpNRqkDbfRgxIbVPCTUYDHyxZCljRt1L165dHNRIQRDqQ/Rgmxhj/HqWb93H/gPnuVbH+FWLxcKK2NX06d1LhKsgNEEiYJsS2xXWL/uRIk0vpi5exIiQ2n886zdsIigokOHD7nJQA53LvPp83QcJQhMiArZJ8WXIwicYVLKGF+a9zeHiyntuHse6+5c95OcXMPGB+x3cRueQJAnDrI3OboYgNIiYaNCUyP2I7D2SyN5D6PT246w5bGLAyPKpj999v5Kc3BxahYSgUChIS89g9qzptW75IgiCc4mAbZLciYruRWTryvCcN/ch8vPzOZOYxK7dewgPC2X12jiMxlLGjx1Dr149nNheQRCqIwK2CbGmr+atf58jYlAHvAPuZVbnqj8euVzOocNHmDFtCh07dgDKdypoCQNBZDIZgaXPObsZgtAgYphWk2LFoMvC5BdGsEfVe8xmM0uWfkPPHjEMHjTQOc0TBKFBRMC6AEmSiF21Bi8vTyZOaBkXtQShORCjCFzA9h07KS0t5f7x45zdFKcyLNrm7CYIQoOIgG3ijp84SWLSOWbNmNaiRwxIkoT5q9POboYgNIgIWAez6BPZtyuetOK6j01LS+fn7Tt56MGZeHp62r9xgiA0KhGwDmNDv+td/rw0lbBBfYmsYzPUvLx8Vq1Zy9TJE1Grgx3TxCZMJpOhvCfS2c0QhAYRF7kcxJa5isUvpvHE0hfpUce2SSaTiS+WfM2A/n3p36+vYxooCEKjEz1Yh7CSumEVFzV+JH3+Ek+8sJxzpuqPtNlsrFqzjui2bUS4NoiF7KSz5f80ZXJi+w/sOqOnro1yTJnH2bF1J4n6291Sx0hmwg5+2pWI3lz+dfrZSxTabvN0QrMiAtYhLKSn5dN13BxmLX6VcSVLWLqvPGHNZjOff7GEuPUb2X/gILGr1mCxWBg7ZpST2+xKTJyP+4I91giwJrPlk2XsTjzMkidm8/f9JTU+ypq8mc++2UXSkS95avbfOFDzoTUwc2bpn/n32v3s+t9TTH30K85bPAkNyGDlFzvQiZBt8cRMLodQEhoWTGlRCeBLeEQop69PJFAqldw3biw6nZ5TZ85w5Uombm5uvP2fd9Fo1EyfOhk/Pz+ntr6pyAv7lMArv7nldkvSEj5O7MH/TfYGczBDHvs993lbOGtN5P0rRsCr2vNZg4fy6Cv3421JwnrmPTJrPrR6Vh1lPX/L2wtCUZSO4i/3v8vuzHl0jBzG5KDXeGdjDG9N0oheTAsmAtYhFETPfIzot5ezs0NXLnhPZc7A8kKsXC4nPDwMs9lMTk4OTz6xiMDAQEpKStDp9Hh5NeQvvvk6cfw4u4r3MPLEYHr07HnDPUb2L9uE2/AFeAKo/AlQAcaLxJeN4ckJNV8gVPkHUH5oPGVjn+K+hl5LVITTq/f1f8vd8Wzdjo7q8qF0QYM6kPHCKpInPEX7lju6rsUTAesgcs09vPTXvmTpLQx5Lpgbr3Pl5OSyNm4DM6dPJTAwEAAvLy/atIlyTmObmMOHDrFw3nxMASY+mzmTr77+moGDBpXfablM/Ek5oQ/fsA+ZOY2fPn6X5SuOsyt0BJ8+3I6aMs6c9iOfvvstsQlhhI74nNntbj3SVpjB2WQ95iqXg+X4R3anbXD58Yajuyge9wh3XX8/lKvDUKeuID4f2otBIC2W+PTiSCp/WoWVh+uvgzeMRiPfx65k1L0jiYyMcG77mqgNNILzigAAA2RJREFU6zdgMl2vWZvMbFy/ofJOawEFBiUq1Q27P6giGf3ip6z6cDwZG7ZzxVrzuVWRY3j+0zW8Pz6djduvUN2hkiGdMwkJJBy78b/jXMwtvzBmy9nPmjO9ePKhG4Jc5oGnqphCQy1PLjR7ogfrJCmpqfj5+bFx0xY6d+pEr55iucGadI/pXvPXSjWaQBPFBivc1E/17tCBrpEBBCrAWqAjz02LutqKizcdOnYjIiAABVYKdddQajUV5VhF6GBmLBxcfeMKTxC3sYhh88YSIjeQlWWjVSs/kEoxWgMJDhD1gZZMBKyTnDx1Gp1Oj6+PD6PuHens5jRpD86eTbGhmF07d3L3yJE8+NBDlXcqohg8QMXS1FLorcKaEssf/5FE25Hd8NAVM/bZWfiSz7rfP8B/3F5m7wfTrj/QSkrsa7ydGM3d3TzQGcbzzCw/yF/LKxPexu33G3hvmqb2hhUn8MkTi1mu9yNg5XvYTAoG/SmWP7UCa3YK+vaDGNA8N/kV6klMNHCCoiID77z3AZIkERQUxOSJE4iICHd2s1yWNX0lf1ziy8tvjCcAE7kpl8lBTZs26spatzWFNcvOMW3B2MoHmnJIuZwD6ra0UVdWxa0pq/n27L3MHxd4uy0i/ZtX+SbiNV4bKUaAtGQiYJ1gy9ZtHDkaT9s2bZg6ZSI+Pj7ObpKLs6HfF8vPshHMHhJazf0m0o8epbjdYDoH1nHZoTSd+HgD0YO7UNehNTEm/8yaE2omTemF6MC2bCJgHcxkMvHRJ58z7K4h9OvbB5ms9q25hfoz6fW4a+r4WG//VpCTXUJASKCovwkiYB3t+ImTREZEEBR0ux8/BUFwFSJgHchqtWI2m8XSg4LQQoiAFQRBsBMx0cDOzAYDJoBSEzUsoCUIQjMlAtaOrLlJxL2+iL+t3sPa5WuJzxHLKwlCSyIC1o4UwV2YMD6Cs0kqxj86myFq8e0WhJZE/MXblZEMswKF/iplzm6KIAgOJwLWTqypW/jkgziu9VjIyJI4/rftPAZnN0oQBIcSowjsxoShWIGPtxKr0YjF05M6tuISBKGZEQErCIJgJ6JEIAiCYCciYAVBEOxEBKwgCIKdiIAVBEGwExGwgiAIdiICVhAEwU5EwAqCINiJCFhBEAQ7EQErCIJgJ/8PLYjLv+vupd8AAAAASUVORK5CYII=[/img]