Herhalingsles vectoren 1

Inleiding
In dit werkblad herhalen we de belangrijkste inzichten over vectoren.[br][br]Je onderzoekt vectoren door dit werkblad te doorlopen. Let telkens goed op wat er verandert en wat gelijk blijft. Zo herhalen we de betekenis van een vector, de coördinaten, de norm, bewerkingen met vectoren en de belangrijkste rekenregels.[br][br]Theorie en oefeningen wisselen elkaar af. Respecteer dus zeker deze volgorde, want zo oefen je meteen wat je hebt geleerd (herhaalt).
1. Een vector als verplaatsing
Versleep de punten A en B. Kijk wat er gebeurt met de vector [math]\vec{AB}[/math][color=#0000ff].[/color]
Welke drie kenmerken bepalen een vector?
Wat betekent het als twee vectoren dezelfde richting hebben?
Oefenen...
Maak volgende oefeningen in jouw boek:[br][br]Basisoefeningen: [br][list][*]WO 1B, p. 330[/*][*]MO 1D, p. 331[/*][/list][br]Sterrenoefeningen:[br][center][/center][table][tr][td][center]*[/center][/td][td][center]MO 1Gs, p. 332[/center][/td][/tr][tr][td][center]**[/center][/td][td][center]MO 1E, p. 331[/center][/td][/tr][/table][br]
2. Gelijke en tegengestelde vectoren
In onderstaand assenstelsel krijg je een overzicht van een aantal vectoren. [br]Welke vectoren zijn gelijk en welke zijn tegengesteld?
Welke vectoren hebben dezelfde richting?
Welke vectoren hebben dezelfde zin?
Welke vectoren hebben dezelfde norm?
Welke vectoren zijn gelijk?
Let op de correcte notatie.
Vul aan...
Twee tegengestelde vectoren hebben dezelfde ... en ... .
Vul aan...
Twee tegengestelde vectoren hebben een tegengestelde ... .
Welke vectoren zijn tegengesteld?
Let op de correcte notatie.
Oefenen...
Maak volgende oefeningen in jouw boek:[br][br]Basisoefeningen: [br][list][*]WO 2A, p. 332[/*][*]MO 2B, p. 332[/*][/list][br]Sterrenoefeningen:[br][center][/center][table][tr][td][center]*[/center][/td][td][center]MO 2C, p. 333[/center][/td][/tr][tr][td][center]**[/center][/td][td][center]MO 2D, p. 334[/center][/td][/tr][/table][br]
3. Coördinaat van een vector aflezen in een cartesiaans assenstelsel
In onderstaand assenstelsel onderzoek je de coördinaat van een vector. [br]Versleep de punten A en B willekeurig. [br][br]Links kan je telkens de coördinaat van de vector aflezen.
Hoe kan je zeer snel de coördinaatsgetallen van een vector in een cartesiaans assenstelsel aflezen?
Verklaar jouw antwoord op de vorige vraag.
Leid uit deze bevindingen de formule af voor de coördinaat van een vector.
4. Coördinaat van een vector berekenen
Nu je de formule voor de coördinaten van een vector hebt afgeleid, kan je die ook berekenen door de coördinaten van het beginpunt af te trekken van de coördinaten van het eindpunt.[br][br][b]Stappenplan [/b]onderstaande oefening:[br]1. Vink aan: '[i]bereken de coördinaat van een vector[/i]'.[br]2. Klik op '[i]start[/i]'.[br]3. Bereken de coördinaat van vector AB door gebruik te maken van de formule.[br]4. Controleer jouw oplossing door te klikken op '[i]toon oplossing[/i]'.[br]5. Klik op '[i]nieuwe oefening[/i]' om te herhalen met nieuwe coördinaatsgetallen.
Oefenen...
Stappenplan:[list=1][*]Ga na wat de ontbrekende coördinaten in onderstaande tabel zijn.[/*][*]Je kan de antwoorden [b][i]nadien controleren [/i][/b]via de onderstaande oplossing.[/*][/list][img]data:image/png;base64,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[/img]
Oplossing vorige oefening.
Hieronder kan je de oplossing van de bovenstaande oefening terugvinden.[br][br][img]data:image/png;base64,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[/img]
5. Norm van een vector
In onderstaand assenstelsel onderzoek je de norm van een vector. [br]Versleep de punten A en B willekeurig.
Op welke meetkundige eigenschap kan je steunen om de norm van een vector te berekenen?
Leid de formule voor de norm van
Bereken de norm van de onderstaande vectoren. [b][i]Controleer nadien [/i][/b]jouw antwoorden.[br][br][img]data:image/png;base64,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[/img]
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