Quiz #1
MATH 151 Section
Name:
September 5, 2002
1. Calculate the vector 2 < 3, −7 > −5 < 13, 5 > and give your answer in terms of the standard
basis vectors i and j.
2. Find a unit vector that points in the same direction as the vector starting at the point (5, 13)
and going to (17, 11).
→
→
3. If −
a = −3i + 5j, what angle does −
a make with the positive x axis?
4. A bird is flying northeast (i.e. with a bearing of N45o E) at a speed of 8mph. There is a slight
breeze blowing due north at a speed of 1 mph. What vector would represent the resulting
path of the bird? What is the ground speed (resulting speed) of the bird?