Vector Quiz #1
Name:_________________________
Calculator Allowed. You must show enough work to enable me to recreate your results.
1. Given the vectors v and w, draw the vectors w + v and w – v.
v
2.
IMSA
w
A ship heads in the direction N40oW at a speed of 20 knots. If the ship enters an ocean
current moving S15oW at 4 knots, what is the resultant direction and speed of the boat?
Show sufficient work to justify your answer.
Vectors - 1
F12
B
3.
Given that D is the midpoint of BC ,
2
1
AE  AB , and AF  AC , express
3
3
each vector in terms of v and w .
E
D
v
A
a.
w
F
C
AB
b. AC
c. BC
d. DA
4. Given the vectors v  4, 4 and w  1,3 , find the following:
a. v
b. v  2w
c. ŵ
d. Sketch w and find the angle between w and the x-axis.
IMSA
Vectors - 2
F12