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°