Question 1302d

Vectors II: Lines and Planes
Perpendicular Distance between Lines

Question

The line l{l} is given by
l1:r=(30−2)+λ(−53−4),  λ∈R. l_1: \mathbf{r} = \begin{pmatrix} 3 \\ 0 \\ - 2 \end{pmatrix} + \lambda \begin{pmatrix} - 5 \\ 3 \\ - 4 \end{pmatrix}, \; \lambda \in \mathbb{R}.
Find the perpendicular distance between the line and the point B(2,2,−2).{B \left( 2, 2, - 2 \right).}

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