Vectors - Equations of Lines
Vectors - Equations of Lines
Find the Parametric and Cartesian equations of line which passes through the points \(A\left( \begin{matrix}
-2 \\
1 \\
3 \\
\end{matrix} \right)\) and \(B\left( \begin{matrix}
2 \\
0 \\
8 \\
\end{matrix} \right)\).
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Answer:\(\mathbf r=\begin{pmatrix}2\\0\\8\end{pmatrix}+\lambda\begin{pmatrix}4\\-1\\5\end{pmatrix},\ \lambda\in\mathbb R\) \(\dfrac{x-2}{4}=-y=\dfrac{z-8}{5}\)
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