QUESTION 1

Let L₁ be the line passing through the point P₁=(?5,2,1) with direction vector ?d=[?3,?2,3]^T, and let L₂ be the line passing through the point P₂=(1,?2,?1) with the same direction vector. 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 your answer.

find d,

Q1,Q2

QUESTION 2

A rhombusABCDis such that: 1.A=(?3,1,2) 2.Blies on the lineLwith vector equation:

\f\f\f