can someone please help me with this algebra question, thanks Let L₁ be the line passing through the point P₁=(−8, 9, 17) with direction vector ₁=[−3, 1, 3]T, and let L2 be the line passing through the point P₂=(7, −5, 12) with direction vector d2=[1, 5, −1]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. Use the square root symbol '√' where needed to give an exact value for youranswer.d 0Q₁ = (0, 0, 0)Q2 = (0,0,0)

Answered: Image /qna-images/answer/58a2c29b-2c9a-4471-9b8a-868b702aee62.jpg

Let L₁ be the line passing through the point P1₁=(-8, 9, 17) with direction vector ₁-[-3, 1, 3]T, and let L2 be the line passing through the point P₂=(7,-5, 12) with direction vector 2-[1, 5, -1]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. Use the square root symbol 'V' where needed to give an exact value for your answer. d = 0 Q1 = (0, 0, 0) Q₂ = (0, 0, 0)