<p style="margin-bottom: 1.5rem">Determine whether the following pairs of lines are parallel, intersecting or skew. Find the position vector of the intersection point (if any) and the angle between the lines.</p>
<p>${{l}_{1}}\mathrm{:r}=\left( \begin{matrix}3\\1\\-5\\\end{matrix} \right)+\lambda \left( \begin{matrix} -1\\-2\\3\\\end{matrix} \right)$ , ${{l}_{2}}\mathrm{:r}=\left( \begin{matrix}-1\\0\\9\\\end{matrix} \right)+\mu \left( \begin{matrix}3\\6\\-9 \\\end{matrix} \right)$</p>

Determine whether the following pairs of lines are parallel, intersecting or skew. Find the position vector of the intersection point (if any) and the angle between the lines.

${{l}_{1}}\mathrm{:r}=\left( \begin{matrix}3\\1\\-5\\\end{matrix} \right)+\lambda \left( \begin{matrix} -1\\-2\\3\\\end{matrix} \right)$ , ${{l}_{2}}\mathrm{:r}=\left( \begin{matrix}-1\\0\\9\\\end{matrix} \right)+\mu \left( \begin{matrix}3\\6\\-9 \\\end{matrix} \right)$

Vectors - Relationships Between Two Lines

Question 289ce804

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