1.7 Express the following vectors in the Cartesian system:
(a) A=(\rho ^(2)z^(2)cos^(2)\phi sin\phi +\rho zsin^(2)\phi )a_(\rho )+(\rho zsin\phi cos\phi -\rho ^(2)z^(2)cos\phi sin^(2)\phi )a_(\phi )
+\rho ^(2)sin\phi cos\phi a_(z)
(b) B=6r^(2)sin\theta cos\phi a_(r)+4rcos\theta sin\phi a_(\theta )+r^(3)a_(\phi )