Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10t sin t + 10cos t)i + (10t cos t - 10 sin t)j  - 10k 

A. T = (-cos t)i  - (sin t)j; N = (sin t)i  + (cos t)j
B. T = (cos t)i  - (sin t)j; N = (-sin t)i  - (cos t)j
C. T = (-cos t)i  - (sin t)j; N = (sin t)i  - (cos t)j
D. T = (cos t)i  + (sin t)j; N = (-sin t)i  + (cos t)j


Answer: B

Mathematics

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