Vectors - Equations of Lines

Vectors - Equations of Lines

Find the Parametric and Cartesian equations of line which passes through the origin and perpendicular to both \((-\mathbf{k})\) and \((-2\mathbf{i}-\mathbf{j}+8\mathbf{k})\).

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Answer:\(\mathbf r=\lambda\begin{pmatrix}-1\\2\\0\end{pmatrix},\ \lambda\in\mathbb R\) \(-x=\dfrac y2,\ z=0\)

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