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Question 4

Solution

Let L1 be the line passing through the point P1=(5,8,-2) with direction vector d1=[-2,-3,-2]^T and let L2 be the line passing through the point P2=(-5,3,4) with direction vector d2=[-2,-1,-2]^T. 

 

Find the shortest distance 'd' between these two lines and find a point Q1 on L1 and a point Q2 on L2 so that d(Q1,Q2) = d. 

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