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(Solved): Find the unit tangent vector of the given curve. \[ \begin{aligned} r(t)= & 12 t^{6} i-4 t^{6} j+3 ...




Find the unit tangent vector of the given curve.
\[
\begin{aligned}
r(t)= & 12 t^{6} i-4 t^{6} j+3 t^{6} k \\
T & =\frac{12}{
Find the unit tangent vector of the given curve. \[ \begin{aligned} r(t)= & 12 t^{6} i-4 t^{6} j+3 t^{6} k \\ T & =\frac{12}{13} i-\frac{4}{13} j+\frac{3}{13} k \\ T & =\frac{12}{13} i+\frac{4}{13} j+\frac{3}{13} k \\ T & =\frac{12}{169} i-\frac{4}{169} j+\frac{3}{169} k \\ T & =\frac{12}{13} i-\frac{4}{13} j-\frac{3}{13} k \end{aligned} \]


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Given r(t)=12t6i??4t6j?+3t6k? Differentiate r(t) w.r.t t dd
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