Note: For questions 1-5 use a = [1, -2, -4] and c = [1, -2, 2] 1. Determine la . c| a) 3 b) 13 c) -3 d) none of these - 2. Determine [c x al a) [12, 6, 0] b) V196 c) 6V5 d) none of these 3. Express 3a - 2c using standard unit vectors a) [1, -2, -16] b) i - 2j - 16k c) 3a - 20 d) none of these 4. What value of O is closest to the angle between a and a) 950 b) 850 c) 800 d) 1000 OVS Final Examination MCV 4U 5. Which is the best representation of a x c a) V126 b) V180 c) -6[2, 1, 0] d) [12, 6, 0] 6. Determine the correct vector property. a) -wxu = -uxw b) -v .u = -|v . u| c)u-w=-w+u 7. Vector w represents the wind with a magnitude of 25 km/h coming from the direction northwest. Find the vector that is equivalent to the vector w a) $450E at -25 km/h b) $450E at 25 km/h c) $45W at -25 km/h d) $450W at 25 km/h 8. Find the best representation of the torque produced by a cyclist exerting a force F = [5, 4, 10]N on the shaft-pedal d = [2, 5, 5]cm long. a) 34.8 N . m b) [-30, -5, 17] c) 34.8 N . cm d) 1214 N . cm