Sketch the Curve of the Vector Function $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , t ^ { 3 } , t \right\rangle , t \geq 0$

Essay

Sketch the curve of the vector function $\mathbf { r } ( t ) = \left\langle t ^ { 2 } , t ^ { 3 } , t \right\rangle , t \geq 0$ , and indicate the orientation of the curve.