Let L be the line passing through the point P (4,2,3)with direction vector d 2,1,2 T Find the shortest distance d from the point P 0 (5,4,2)to L , and the point Q on L that is closest to P 0 Use the square root symbol '' where needed to give an exact value for your answer d 0 Q (0, 0,0)

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Question: Let L be the line passing through the point P =(4,2,3)with direction vector d =[2,1,2] T . Find the shortest distance d from the point

LetLbe the line passing through the pointP=(4,2,3)with direction vectord=[2,1,2]^T. Find the shortest distancedfrom the pointP₀=(5,4,2)toL, and the pointQonLthat is closest toP₀. Use the square root symbol '' where needed to give an exact value for your answer.

d= 0

Q= (0, 0,0)

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