Let \mathcal{L} be the line in \mathbb{R}^3 given by $\mathbf{r} = \begin{bmatrix} 0\\3\\-2 \end{bmatrix} + s \begin{bmatrix} -3\\-5\\-1 \end{bmatrix}$. a. Find any two distinct points that lie on the line. Point 1: Point 2: b. Find the point of intersection of \mathcal{L} with the line given by $\begin{bmatrix} -6\\-9\\6 \end{bmatrix} + t \begin{bmatrix} 0\\-1\\5 \end{bmatrix}$.
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Step 1: Since the y-intercept of the line is -3, the first point on the line is (3, -3). Show more…
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