Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve. Verify that T| = N = 1 and T N = 0. r(t) = (13 cos t,13 sin t) The unit tangent vector is T= HD. The principal unit normal vector is N = O Find the magnitude of T. |T| = (Simplify your answer.) Find the magnitude of N. |N| =U (Simplify your answer.) Compute the dot product of T and N. T.N=(Simplify your answer.)