# collinear vectors

by PiRsq
Tags: collinear, vectors
 P: 110 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?
 PF Patron Sci Advisor Emeritus P: 16,094 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
P: 28
 Quote by Hurkyl 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
To be specific, vectors are collinear when their lines of action are parallel to each other.

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