1. The problem statement, all variables and given/known data I know you can find the gradient of a scalar using partial derivatives. Does it make sense to find the gradient of a vector, however? A homework problem of mine asks to find the gradient of a vector. I'm starting to think it's a trick question.... 2. Relevant equations ∇ dot V = the divergence of V ∇ cross V = the curl of V 3. The attempt at a solution The equations above lead me believe that it doesn't make sense to take the gradient of a vector , but the gradient operator can be used in combination with a dot product or cross product to give similar information about the way a function behaves (divergence and curl). So, perhaps divergence and curl are like the vector version of a gradient?