- #1

PiRsq

- 112

- 0

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?

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- Thread starter PiRsq
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- #1

PiRsq

- 112

- 0

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

Staff Emeritus

Science Advisor

Gold Member

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The easiest algebraic description of collinearity is that two vectors

or

- #3

CHUKKY

- 28

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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

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

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