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Jason A.

asked • 05/12/20

Shortest distance between two lines (Math)

So the question is: In R^3 , consider the lines L1 and L2 defined by L1 = { (s −1,s, 3) : s ∈ R} and L2 = { (2+ t, 0, 2t) : t ∈ R}. What is the shortest distance between these two lines? Between which two points on L1 and L2 does this distance occur?

Hint: In your answer, you are free to use the following property: if p is a point, L is a line and q ∈ L is the closest point to p on that line, then the line segment from p from q is perpendicular to L.

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