Question

True or False Curves defined using parametric equations have an orientation.

Short answer

The answer is true.

Step-by-step solution

Step 1. Given information.

The curves and parametric equations.

Step 2. Calculation.

Parametric equations represent the curves whose orientation is true because of The orientation of the curve in the direction of the plane curve as the parameter increases.

• The orientation of the curve is defined as the direction of the plane curve when the parameter increases.
• The arrows drawn along the curve represent the orientation of a plane curve.