MI 4
October 24, 2011
Vectors Quiz 1
Sheets 1-4
Name _________________
Mods ______
Draw well labeled diagrams to explain your answers and show sufficient work:
1a. Given the vectors v = <-2, 2> and w = <1, 4>. Draw and label vectors v and w and use
the parallelogram method to draw and label v + w.
b. Find the following for the vectors in part (a):
a. v =
b. 2v  3w =
c. v =
2. Find a vector of length 2 whose direction is the opposite of the direction of the vector
v  i  2 j . Write your answer in component form.
3. What is the fifth term in the expansion of  2 x  3 ? Use the formula given on the worksheet
to find the correct answer.
10
IMSA
VectorsQ1
F11
MI 4
October 24, 2011
Vectors Quiz 1
Sheets 1-4
Name _________________
Mods ______
4. A plane which can fly at 450 mph desires to travel at a bearing of 320° but he must contend
with a 45 mph wind from the east. What bearing should the plane take to compensate for the
wind? Draw a well labeled diagram to justify your answer. Round your answer to the nearest
hundredth.
5. For a parallelogram ABCD, given G is a midpoint of AB and E & F trisect AC. AG = u and
AD = w . Find the following, in terms of vectors u and w .

a. AC =



B
G
b. AF =
A
C
E
F
D
c. FD =
EC. Find the magnitude and the direction of the vector: u  2 (cos 30 )i + ( sin 30 ) j  .
IMSA
VectorsQ1
F11