Question: Let L 1 be the line passing through the point P 1 =(3, 2, 2) with direction vector d=[0, 2, 3] T , and let

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

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 =

Q ₁ = (

) Q ₂ = (

) Let L 1 be the line passing through the point P 1

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