(3.) (a.) (Circle the correct choice) Which of the following vector functions describes a circle of radius R that lies in the z = 1 plane: r(t) = (cos(Rt), sin(Rt), 1) r(t) = (R cos(t), R sin(t), R) r(t) = (R, R, 1) r(t) = (cos(t), sin(t), 1) r(t) = (R cos(t), R sin(t), 1) r(t) = R(cos(t), sin(t), 1) (b.) Use the curvature formula from the book (formula 3.16 found in Theorem 3.6) to prove that the curvature of this circle is equal to the reciprocal of the radius.

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