KEY
Name___________________________________
Period___
PreCalculus
Lesson 8.1 Introduction to Vectors (day 1)
State whether each quantity described is a vector quantity or a scalar quantity.
1. a box being pushed with a force of 125 newtons scalar
2. wind blowing at 20 knots scalar
3. a deer running 15 meters per second due west vector
4. a baseball thrown with a speed of 85 miles per hour scalar
5. a 15-pound tire hanging from a rope vector
6. a rock thrown straight up at a velocity of 50 feet per second vector
Determine the magnitude and direction of the resultant of each vector sum.
7. 18 newtons directly forward and
8. 100 meters due north and then 350 meters due south
then 20 newtons directly backward
2 newtons backward
9. 17 miles east and then 16 miles south
23.35 miles at -43.26°°
250 meters due south
10. 15 meters per second squared at a 60 degree angle to
the horizontal and then 9.8 meters per second squared
downward
8.15 m/s2 at 23.04° with the horizontal
Problems #11-#15: Use the set of vectors to draw a diagram and resultant vector, r, for the following vector
expressions.
1
u
11. v + z
12. z + w
13. v − 2u
2
w
14. 2z + w
11)
v
15. v + z − u − 2w
12)
13)
14)
15)
z