I couldn't solve this problem guys: Let vectors x, y, z be non zero vectors, no two of which are collinear. Find their sum if x+y is collinear with z and if y+z is collinear with x. Also, what does a collinear vector mean?
Two vectors are collinear if they lie along the same line. The easiest algebraic description of collinearity is that two vectors v and w are collinear if and only if one is a scalar multiple of the other. That is, there exists a number α such that: v = α w or w = α v