Lindsey Chan
01/29/2024 · Elementary School

2 Onderzoek de onderlinge li \( a^{2}\left(\begin{array}{l}x \\ y \\ z\end{array}\right)=\left(\begin{array}{c}4 \\ -3 \\ 5\end{array}\right)+\lambda\left(\begin{array}{c}1 \\ 0 \\ -1\end{array}\right)+1 \) \( \left(\begin{array}{l}x \\ y \\ z\end{array}\right)=\left(\begin{array}{c}-4 \\ 5 \\ 1\end{array}\right)+e\left(\begin{array}{l}0 \\ 1 \\ 2\end{array}\right)+\tau\left(\begin{array}{l}3 \\ 2\end{array}\right. \)

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Om de onderlinge ligging van de lijnen te onderzoeken, herschrijf de vergelijkingen en analyseer de richtingsvectoren en punten op elke lijn. Controleer of de richtingsvectoren lineair afhankelijk zijn door de determinant van een matrix gevormd door de richtingsvectoren te berekenen. Afhankelijk van de determinant en de afstand tussen de punten, kun je concluderen of de lijnen parallel zijn, snijden, of scheef zijn.

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