Hi guys, got a question I need help in:
Find, in the form r.n = d, the equation of the plane containing the points A,B and C whose position vectors are -i + j + k, i + 2j + 2k and 2i + 2j + 4k respectively.
Find, in the form r = p + tq the equation of the image of the line r = -i + j + k + \lambda (i - 5k) reflected in this plane.
I found the equation of the plane to be r = (-1, 1 ,1) + \lambda (1, 0, -5). But I don't know how to find the equation of the reflected line (L'). I know L' would definitely contain A but I will need the direction vector of the reflected line to form the equation, and to get the direction vector, I need at least one other point lying on L'. Any idea how to find the 2nd point?
Thanks in advance!