Math 208 (Lutz) - Quiz #3, 9/13/13
Name:
Directions: This quiz has 3 questions, for a total of 20 points. Solve each problem carefully. You must
show ALL of your work in order to earn full credit.
1. (6 points) An airplane heads northeast at an airspeed of 700 km/hr, but there is a wind blowing from
the west at 60 km/hr. What is the speed of the plane relative to the ground?
2. (7 points) Write !a = 3!i + 2!j − 6!k as the sum of two vectors, one parallel, and one perpendicular, to
d! = 2!i − 4!j + !k.
3. (7 points) Find an equation for the plane through the origin containing the points (1, 3, 0) and (2, 4, 1).