1. Find the magnitude and direction angle for the vector v = 5cos144°i + 5sin144°j.

a. 5√2, 36°
b. 5, 144°
c. 10, 73°
d. 25, 36°

2. Find the angle between vector u = 2i + √11j and v = -3i - 2j to the nearest degree.

a. 25°
b. 87°
c. 93°
d. 155°

3. A private plane is travelling due east at a rate of 155 mph. A south wind is blowing 35 mph. What is the actual velocity of the plane?

a. ≈ 120 mph
b. ≈ 151 mph
c. ≈ 159 mph
d. ≈ 190 mph

4. The dot product of u with itself is 24. What is the magnitude of u?

a. 2√3
b. 2√6
c. 12
d. 24

5. Vector v has a direction of (-4, 27). Find the direction angle for v.

a. 81.6°
b. 98.4°
c. 261.6°
d. 278.4°