MI 4
Vectors Quiz 1
Sheets 1-4
Name _________________
Draw well labeled diagrams to explain your answers and show sufficient work:
1. Given the vectors u  1, 4 and v  3, 2 . Find the following:
b. u  3v =
a. v =
c. v̂ =
2. Find a vector of length 2 whose direction is the opposite of the direction of the vector
v  iˆ  2 ˆj . Write your answer in component form.
3. Given the vectors u and v as shown below, sketch the vectors u  v and u  2v . Clearly show
how you are getting these vectors from u and v .
u
v
IMSA
VectorsQ1
F11
MI 4
Vectors Quiz 1
Sheets 1-4
Name _________________
4. A plane which can fly at 500 mph desires to travel in the direction N 30 W but he must
contend with a 45 mph wind from the east. What direction should the plane take to compensate
for the wind? What will be the resultant speed of the plane. Draw a well labeled diagram to
justify your answer. Round your answer to the nearest hundredth.
IMSA
VectorsQ1
F11
MI 4
3.
Vectors Quiz 1
Sheets 1-4
Name _________________
In triangle ABC, Y is the midpoint of AB ,
1
AX  AC , and Z is the midpoint of BC .
3
Find the following vectors in terms of
v  AX and w  AY .
B
Z
Y
w
A
a.
v
C
X
AB
b. AC
c. BC
d. XB
e. ZX
IMSA
VectorsQ1
F11