Thread: Sketching a vector curve

Hi, I have a homework problem that states: Sketch the curve with the given vector equation r(t) = <t^4, 1, t>. I am clueless where to start here, my book doesnt go over this at all. Can someone please help me start this problem?
Thank You.

Originally Posted by cowboys111

Hi, I have a homework problem that states: Sketch the curve with the given vector equation r(t) = <t^4, 1, t>. I am clueless where to start here, my book doesnt go over this at all. Can someone please help me start this problem?
Thank You.

x = t^4
y = 1
z = t

Eliminate t:

x = z^4 and y = 1.

So the curve is x = z^4 in the plane y = 1.