Calculate the unit tangent vector to the curve at .

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Calculate the unit tangent vector to the curve r(t)=⟨3t, 4t, 0⟩\mathbf r(t)=\langle 3t,\,4t,\,0\rangle at t=1t=1.

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