Q [20 points]
(a) Convert vector \(V = 2a_r + 3a_\theta + 4a_\phi\) from spherical to cartesian at point \(P1 = (1, 45^\circ, 30^\circ)\)
(b) Convert vector \(M = 5a_r + 3a_\theta + 2a_\phi\) from spherical to cartesian at point \(P2 = (2, 60^\circ, 30^\circ)\)
(c) Decompose vector \(V\) into two components: one along vector \(M\), and one perpendicular to \(M\).