2. Given r(t) = (31²,1³,-1²) find the following using vector operations. a) the unit tangent vector T() at the point (3, -1, -1) b) the curvature of r(t) at the point (3, -1, -1).

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2. Given r(t) = (31²,1³,−1²) find the following using vector operations.
a) the unit tangent vector T(1) at the point (3, -1, -1)
b) the curvature of r(t) at the point (3, -1, -1).
Transcribed Image Text:2. Given r(t) = (31²,1³,−1²) find the following using vector operations. a) the unit tangent vector T(1) at the point (3, -1, -1) b) the curvature of r(t) at the point (3, -1, -1).
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