MI 4
Vectors Quiz 1
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1. a. Given the two vectors a and b below,
sketch a  b .
b. Given the two vectors a and b below,
sketch a  b
a
a
b
2. Given the vectors v  2,1 and w  4,3 .
a. Find the angle between v and w .
b. Find v  3w .
c. Find v̂ .
b
3. A pilot desires to fly in the direction N55E at a speed of 500 mph. There is a wind blowing
at 30 mph in direction S20E. At what speed and direction should the pilot fly to compensate for
the wind?
4. Given vectors x  3,2 and y  5,2a  1 .
a. Find all values of a that make these vectors perpendicular to each other.
b. Find all values of a that make these vectors parallel to each other.