1. The problem statement, all variables and given/known data A is a vector Show that: a1 = x hat (dot) A a2 = y hat (dot) A a3 = z hat (dot)A 2. Relevant equations A= (a1*x hat) + a2*y hat) + (a3* z hat) 3. The attempt at a solution my hint says to take the dot product of both sides of the equation in (2) with each of the basis vectors in turn. Doing this I get A^2 = [(a1*x hat) + a2*y hat) + (a3* z hat)] dot A I dont know what to do next, or if thats even right.