Last Updated 10/28/2022

Sage Essentials
Section 9: Vector Calculus

Vector-Valued Functions

The vector() and parametric_plot3d() Commands

Example 1

Define and plot the function $r\left(t\right)=\langle \cos t,\sin t,\frac{1}{10}t\rangle$  on $\left[0,20\right]$ .

The result is a helix along the z-axis.

Try this!

Alter the definition of the function above to plot a horizontal circle with a height of 2.