Let L 1 be the line passing through the point P 1 (1, 3, 2) with direction vector d 1 1, 2, 2 T , and let L 2 be the line passing through the point P 2 (14, 8, 5) with direction vector d 2 1, 4, 0 T Find the shortest distance d between these two lines, and find a point Q 1 on L 1 and a point Q 2 on L 2 so that d(Q 1 ,Q 2 ) d Use the square root symbol '' where needed to give an exact value for your answer d 0 Q 1 ( 0 , 0 , 0 ) Q 2 ( 0 , 0 , 0 )

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

Let L ₁ be the line passing through the point P ₁=(−1, 3, −2) with direction vector →d ₁=[−1, 2, −2] ^T, and let L ₂ be the line passing through the point P ₂=(−14, 8, 5) with direction vector →d ₂=[−1, 4, 0] ^T.

Find the shortest distance d between these two lines, and find a point Q ₁ on L ₁ and a point Q ₂ on L ₂ so that d(Q ₁,Q ₂) = d. Use the square root symbol '√' where needed to give an exact value for your answer.

d = 0

Q ₁ = ( 0 , 0 , 0 )

Q ₂ = ( 0 , 0 , 0 )

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To find the shortest distance d between the two lines L1 and L2 and the points Q1 on L1 and Q2 on L2 for which dQ1 Q2 d we can employ the following st... View full answer

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