# MI 4 Vectors Quiz 1 Name _________________ October 24, 2011

```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 = &lt;-2, 2&gt; and w = &lt;1, 4&gt;. 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  iˆ  2 ˆj . Write your answer in component form.
4. A plane which can fly at 450 mph desires to travel in the direction N 40&deg; W but he must
contend with a 45 mph wind from the east. What direction should the plane take to compensate
nearest hundredth.
5. For a parallelogram ABCD, given G is a midpoint of AB and E &amp; F trisect AC. AG = u and
AD  w . Find the following, in terms of vectors u and w .

a. AC


B
G
b. AF =
C
E
F
A
D
c. FD =
6. Find the magnitude and the direction of the vector: u  2 (cos 30 )i + (sin 30 ) j  .
IMSA
VectorsQ1
F11
```