If two vectors a and b are non-collinear, then for what values of x are the vectors $$c = (x-2)a + b$$ and $$d = (3 + 2x)a - 2b$$ collinear?
No idea how to even approach the problem. I attempted drawing a diagram, but it didn't seem to help. Please point in the right direction!
I'll give you a hint, if c and d are co-linear for certain value of x then that means the angle between them is zero. Hence cross product c x d = 0
Now all you gotta do is solve the equation:
(3+2x) + 2(x-2) = 0