Given one cross product, find another cross product

Colts · Sep 16, 2012

Homework Statement

Calculate the cross product assuming that u X w = <-7,1,8>
Find (-3u + 4w) X w = ?

I'm not sure. I know you have to relate the cross product to something inorder to find what u and w are, but don't know what equations to use.

Don't know where to start

damabo · Sep 16, 2012

I think it is best if you use these 3 characteristics.
1. u x w = u w sin(theta)
2. λu x w = λ (u x w)
3. (u + v) x w= u x w + v x w