Question

Vector question:
Given: (aXb)*c=1
Where a, b and c are vectors, X is vector multiplication and * is scalar multiplication.
u=a+b
v=b+c
w=a+c
Express (uXv)*w in terms of a. b and c in the simplest possible way.

Answer 1

@experimentX @dumbcow @ash2326 @apoorvk

Answer 2

((a+b)X(b+c))*(a+c)=?

Answer 3

lol

Answer 4

look at the integer next to it "1"

Answer 5

just simplify it.
((a+b)X(b+c))*(a+c)
(axb + axc +bxb + bxc )*(a+c)
(axb + axc + 0 + bxc )*(a+c)
(axb*a + axc*a + bxc*a + axb*b + axc*b + bxc*b )
(0 + 0 + bxc*a + 0 + axc*b + 0 )
a*bxc + a*cxb
= a*bxc + (-a*bxc)
= 0

Answer 6

In the end that's pretty much what I did, but I ended up with a different result. I just wasn't sure about how to multiply out cross products. Thanks