Question

Please help me with the following problem.
I am asked to find the following cross product.
u x v
u=<1,2,-3>
v=<-4,1,2>

and then I am asked to check that the cross product is orthogonal to both u and v. I found the cross product <7,10,9> but I do not know how to check if it is orthogonal to both u and v.

Answer 1

with the dot product

Answer 2

u (dot) v = -8

Answer 3

the result of the cross product gave u a result w= <7,10,9>
so u must to do this
w.u
and
w.v

Answer 4

u must get 0 in both cases if they r ortogonal

Answer 5

ok thanks...