Question

determine whether the given pairs of lines are parallel, identical, intersecting, or skew. If the lines are parallel, compute the distance between them. If the lines intersect, find the point of intersection and the angle at which the lines intersect.

${\mathbf{r}}_1\left(t\right)=⟨2t+6,-t+1,3t⟩$

${\mathbf{r}}_2\left(t\right)=⟨-4t+3,2t-1,-6t+2⟩$

Short answer

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Step-by-step solution

Step 1:Given information

${\mathbf{r}}_1\left(t\right)=⟨2t+6,-t+1,3t⟩$

${\mathbf{r}}_2\left(t\right)=⟨-4t+3,2t-1,-6t+2⟩$

Step 2:Calculation

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