Please solve with steps

2. Consider the spherical polar coordinates (r, 0, 4) with unit vectors er, eo, ey (a) Find the expressions of the unit vectors er, es, ex as functions of (r, 0, 4) with respect to the Cartesian unit vectors i, j, k. (b) Using the expressions derived above, show that er, es and ey are mutually orthogonal and further that er X eo = ey. (c) Using the general formulas for divergence and curl in curvilinear coordinates from the lectures, write the expressions for the divergence and curl of a vector V = Vrer + Veee + Upey in spherical polar coordinates. You can leave the expression for curl in determinant form. (d) Hence find the divergence and curl of the vector v = r sin 0 sin per + rep