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:
a. u  3v =
b. 2u  v
c. v̂ =
2. If a v is a unit vector and a  3, find v .
3. Given the vector u  1, 3 . Sketch the vector, then find the vector’s magnitude and
direction:
IMSA
VectorsQ1
F15
MI 4
Vectors Quiz 1
Sheets 1-4
Name _________________
4. A boat which can travel at 25 mph in still water heads in the direction N 30 W out into a river
with current of 5 mph in the direction S 20 E . Find the resulting speed and direction of the boat.
Round your answers to the nearest hundredth.
IMSA
VectorsQ1
F15
MI 4
5.
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
F15