(Solved): urgent! Find the unit tangent vector to the curve \( r(t)=\left\langle t, t^{2}, t^{3}\right\rang ...

urgent!

Find the unit tangent vector to the curve \( r(t)=\left\langle t, t^{2}, t^{3}\right\rangle \) at the point \( r(1)=\langle 1,1,1\rangle \). \[ \frac{1}{\sqrt{6}}\langle 3,2,1\rangle \] (B) \( \frac{1}{\sqrt{14}}\langle 1,2,3\rangle \) (C) \( \frac{1}{\sqrt{11}}\langle 1,1,1\rangle \) (D) \( \left\langle\frac{1}{\sqrt{3}}, \frac{2}{\sqrt{7}}, \frac{1}{3 \sqrt{5}}\right\rangle \) none of the above