- #1

- 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?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter PiRsq
- Start date

- #1

- 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

- 14,950

- 19

The easiest algebraic description of collinearity is that two vectors

or

- #3

- 28

- 0

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.

Share: