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vector

Please help to solve.

The line L passes through the point A, whose position vector is i-j-5k and is parrallel to the vector i-j-4k. The line l2 passes through the point B, whose position vector is 2i-9j-14k, and is parrallel to the vector 2i+5j+6k. The point L and the point Q on L2 are such that PQ is perpendicular to both L and L2.

a. Find the length of PQ
b. Find a vector perpendicular to the plane which contains PQ and L2.
c. Find the perpendicular distance from A to the plane.

answer for a) 3
b) (-17, -10, 14)
c) 21/sqrt65
Thanks
Original post by spring123
Please help to solve.

The line L passes through the point A, whose position vector is i-j-5k and is parrallel to the vector i-j-4k. The line l2 passes through the point B, whose position vector is 2i-9j-14k, and is parrallel to the vector 2i+5j+6k. The point L and the point Q on L2 are such that PQ is perpendicular to both L and L2.

a. Find the length of PQ
b. Find a vector perpendicular to the plane which contains PQ and L2.
c. Find the perpendicular distance from A to the plane.

answer for a) 3
b) (-17, -10, 14)
c) 21/sqrt65
Thanks


What have you already tried to do to solve it? Is there a certain bit you are stuck on?
Reply 2
Original post by k4l397
What have you already tried to do to solve it? Is there a certain bit you are stuck on?



i have solve question (a) by using this formula

but im stuck at question (b) and (c). I dont know how to start

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