Question 1:

Let f be a scalar field (a function) and F a vector field. For each expression, decide first if it's meaningful, and if so, whether the result is a scalar field or vector field. V grad(div F) V div(curl(grad f)) V grad f v (grad f) x (div F) V grad(div f)Let f be a scalar field (a function) and F a vector field. For each expression, decide first if it's meaningful, and if so, whether the result is a scalar field or vector field. V div F V Vf V V div( F ) V VF V div(div F)Find the curl of the vector field F = curl F = + +