Vector Multiplication: a-b X a+b = 2(aXb)

[physicsss]

(a-b)X(a+b)=2(aXb), where a and b are vectors.

Thank you.

 

[Zurtex]

What have you tried so far?

I would start with the definition of cross multiplication.

 

[physicsss]

I tried to set a=<x,y,z> and b=<x1,y1,z1> and expand everything...and the left side became a big mess.

 

[dextercioby]

Why don't u multiply exactly what u were given...?I mean there are exactly 4 cross products u'd be getting,when doing it.2 of them are 0...

Daniel.

 

[Galileo]

The cross product is distributive. Use that and some of its other properties to get the answer. No need to fiddle with components.