The direction of the gradient of a scalar is the direction in which the scalar function changes most rapidly with distance moved. so â½(v) should be in the j direction. in spherical coordinates, y = r smo smo compute the gradient of r sine sino using the spherical representation for the gradient to find the expression for j in terms of the spherical coordinates and directions. use analogous methods to find representations for the other two cartesian coordinate directions. explain why your results were the directions sought without normalizing the gradient to unit magnitude.