I am given the following information, A x X = B A ● X = phi Where A, B, and X are vectors and phi is a scalar. A cross product is indicated by “x” and “●” indicates a dot product. I am told that A, B, and phi are ‘known’ to me by the question and my goal is to find the vector X. I am told that my answer should be in terms of A, B, phi, and the magnitude of A. It seems like the most obvious place to start would be to use the information given in the problem and find out what B and phi are equal to in terms of A and X. By performing the cross and dot products, I obtain the following, Bx = (Ay * Xz) – (Az * Xy) By = - (Ax * Xz) + (Az * Xx) Bz = (Ax * Xy) – (Ay * Xx) B = <Bx, By, Bz> Phi = (Ax * Xx) + (Ay * Xy) + (Az * Xz) Although the above is true, it does not look very useful, so it might also be beneficial to find B and phi using idical / summation notion, Bi = Σ εijk * Aj * Xk Where the summation is taken over the summing indices of j and k and I refers to the component of B. Phi = Σ Ai * Xi Where i is the summing index. But after doing this, I am at a loss as to how to proceed in order to solve for X.