How Can Vector X Be Expressed Using Vectors A, B, and Scalar c?

[indigojoker]

X is an unknown vector satisfying the following relations involving the known vectors A and B and the scalar c,

A x X = B

A . X = c

Express X in terms of A, B, c, and the magnitude of A

I know that:

A . X = |A| |X| cos(θ) = c

and

|A x X| = |A| |X| sin(θ) = |B|

but how do I get X by itself?

 

[e(ho0n3]

You're going to have to break A, B and X into components and find out what the components of X are in terms of the components of A and B.