1. The problem statement, all variables and given/known data "A vector perpendicular to both vectors V & W Vector V = 3i + 2j - 2k Vector W = 4i -3j + k 2. Relevant equations Cross product equation 3. The attempt at a solution The way our teacher tried to teach us was to do the cross product of vectors V x W Which supposedly equals (area of parallelogram)n-hat (or carrot, what ever you call unit vectors). But the only example my teacher did this was for an extremely simple set of vectors dealing only with the i and j components and no k component. So basically she went and did V x W for this extremely simple vector problem, and when she chose her perpendicular vector to both V and W, she took a shortcut and just choose k to be the perpendicular vector, which makes perfect sense because it is so simple, but it doesn't help us at all when it comes to trying to do more complex variations of this problem.