Math 254 - Practice Problems
Wed, Sept 28
Justify your reasoning.
Vector Functions
1. Describe ~r(t) = ht, sin(πt),cos(πt)ias 0 ≤t≤1. In particular, what curve is described,
how is it oriented, and how is it traversed?
2. T/F: For a given space curve, there is exactly one way to parametrize that curve.
3. Find a direction vector for the line given by ~r(t) = (4 −t)ˆı+(2+5t)ˆ+1
2tˆ
k. Recall
that this is analogous to ‘slope’ for lines in R2.
1