- #1

Baumer8993

- 46

- 0

## Homework Statement

If

**a**,

**b**,

**c**,

**d**are all vectors contained in the same plane, explain why

(

**a**X

**b**) X (

**c**X

**d**) = <0,0,0>

## Homework Equations

The Cross Product!

## The Attempt at a Solution

I know that since all of the vectors are in the same plane that means that a cross product between any of the vector will either be parallel, or anti-parallel. In this case the two cross products done create a vector with an angle of 180 degrees between them. So when they are crossed the result is 0. I just do not know how to "mathematically" prove this.