Hi

We know that and hence . Then, gives an equation that can be solved for ... and knowing , you can determine .

For any two vectors and , . (and )2) vector u is give as u= (1, -2, 1)

a) determine 3 different non-collinear vectors perpindicular to u.

How can one define a plane with a dot and a vector ?b) show that the 3 vectors in part a are coplanar

Cross product distributes over addition :3) prove that (a-b)x(a+b) = 2(axb)