Question

# Let *L*_{1} be the line passing through the

point *P*_{1}(−10, 11, −2) with direction vector **d**_{1}=[3, −3, −1]^{T}, and let *L*_{2} be the line passing through the point *P*_{2}(0, −2, −1) with direction vector **d**_{2}=[3, −1, 1]^{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= ?

q1=?

q2=?

#### Top Answer

d = sqrt(22) Q_1 =... View the full answer