Exercise 10

Distance from a point to a line

Theory used: Distance from a point to a line Orthogonal projection of a point onto a line

Compute the distance from the point $P = (4, 1, 2)$ to the line $r : x = 2 t$ , $y = 1 + 2 t$ , $z = 1 + t$ and find the orthogonal projection of $P$ onto $r$ .

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