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Collinear vectors

by PiRsq
Tags: collinear, vectors
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PiRsq
#1
Sep27-03, 09:37 AM
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?
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Hurkyl
#2
Sep27-03, 12:16 PM
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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
CHUKKY
#3
Feb26-10, 04:07 PM
P: 28
Quote Quote by Hurkyl View Post
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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