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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?

- Thread starter PiRsq
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- #1

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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?

- #2

Hurkyl

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The easiest algebraic description of collinearity is that two vectors

or

- #3

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To be specific, vectors are collinear when their lines of action are parallel to each other.

The easiest algebraic description of collinearity is that two vectorsvandware collinear if and only if one is a scalar multiple of the other. That is, there exists a number α such that:

v= αw

or

w= αv

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