Problem 4: Let H = 5$\rho$sin$\phi$ $a_{\rho}$ - $\rho$z cos$\phi$ $a_{\phi}$ + 2$\rho$ $a_{z}$. At point P(2, 30°, 1), find:
(a) a unit vector along H.
(b) the component of H normal to $\rho$ = 2.
(c) the component of H parallel to $a_{x}$.
(d) the component of H tangential to $\phi$ = 30°.