MathCastle
Multivariable CalculusEasyCurves & Motion

Curves & Motion · Easy problem

For the curve r(t)=(2t, t2, ln⁡t)\mathbf r(t) = \left(2t,\ t^{2},\ \ln t\right), find the zz-component of the unit tangent vector T\mathbf T at t=1t = 1.