Determine whether the following pair of lines are parallel, intersecting or skew. Find the position

Question

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

${{l}_{1}}\mathrm{:}x=y-1=z-6$, ${{l}_{2}}\mathrm{:}\frac{x-2}{3}=\frac{z-3}{2};y=2$

Accepted Answer

Skew lines with no intersection $\theta=36.8^\circ$

Vectors - Relationships Between Two Lines

Vectors - Relationships Between Two Lines

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