1. How does multiplying a vector value of 2π change the vector?

a. The vector will not change direction but will decrease in magnitude.
b. The vector will change direction and decrease in magnitude.
c. The vector will not change direction but will increase in magnitude.
d. The vector will change direction and increase in magnitude.

2. A 5 lb. force acting in the direction of (5,-3) moves an object just over 12 ft. from point (0,6) to (7,-4). Find the work done to move the object to the nearest foot-pound.

a. 11 ft. -lbs.
b. 34 ft. -lbs.
c. 56 ft. -lbs.
d. 61 ft. -lbs.

3. Find the component form of - u - v given that u = (-5,6) and v = (7,-3).

a. (12,9)
b. (2,3)
c. (-2,-3)
d. (-12,-9)

4. For v = -4i - 5j, find the vector u in the direction of v, and write your answer as a linear combination of the standard unit vectors i and j.

a. [tex]u = -\frac{4 \sqrt{41}}{41}i-\frac{5 \sqrt{41}}{41}j[/tex]
b. [tex]u = -\frac{4 \sqrt{9}}{9}i-\frac{5 \sqrt{9}}{9}j[/tex]
c. [tex]u = -\frac{4}{41}i-\frac{5}{41}j[/tex]
d. [tex]u = -\frac{4}{9}i-\frac{5}{9}j[/tex]

5. Find u · v, if u = 14j and v = i + 4j.

a. 56
b. -56
c. (1,56)
d. (0,56)