Find the unit tangent vector of the given curve.r(t) = (3t cos t - 3 sin t)j  + (3t sin t + 3 cos t)k

A. T = (-3 sin t)j  + (3 cos t)k
B. T = (3 cos t)j  - (3 sin t)k
C. T = (-sin t)j  + (cos t)k
D. T = - (sin t)j  + (cos t)k


Answer: C

Mathematics

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