(b) Sphericals x: :- sine :20qu y=r sine sin z = r c056 Consider spherical coordinates as dened by their relationships to the Cartesian coordinates: or Express the position vector , velocity , and acceleration in terms of the spherical coordinates . at Determine the three unit vectors that we will employ in Spherical coordinates by evaluating , , and b. Evaluate the time derivatives (, , and ) of the unit vectors , , and . c. Show that the three units vectors are orthogonal to each other. a. Evaluate the second time derivative of the unit vectors . e. Given that , show that r. Given that , show that