I have this exercise that I'm having trouble with. Just to be clear, this is not a homework assignment, it's just an exercise from my book that will help me understand better what I have to do. So I'm not asking anyone to do a homework in my place, it's just for practice.
From previous exercises, I've already obtained the equations of a plane and a line.
Δ = x + 5y + 5z = 0 (plane)
and the line D:
x = t , y = 3t , z = 5t
C is (i,j,k) from V3
T is the projection on the plane Δ, and parallel to D.
(a) Give A = [T]c
(b) Check that tr(A) = 2 and det(A) = 0
(c) Give a relation between the column of A
(d) What does 2T - id represent^
Thanks a lot to whoever can help me!