Hi:

I have this problem:

The vector equation of the line Q is 2i+j+3k+λ(i+3j-5k) and the point P has coordinates (2, 3, -1). Find the coordinates of the point R, where R is on the line Q and the vector PR is perpendicular to Q.

So:

Q=2i+j+3k+λ(i+3j-5k)

P=(2, 3, -1)

R=( )

If R is on the line Q, and PR is perpendicular to Q, doesn't this mean that R is at the point of intersection between Q and PR?