I really need help with these practice multiple chocie

1. When two opposite vectors are added: a. The resultant is twice the original vector b. The resultant is a vector perpendicular to the vectors c. The resultant is the zero vector d. None of the above 2. A represents a vector of 100 km/h at N20.E. The vector - = A a. 20 km/h at N20'E 100 km/h at N20'E ? ? b. 20 km/h at $20 W 20 km/h at W20'S 3. AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of this vector. c. V3 +5 C. 8 d. 2 d. 2V2 4. a = (-6,3,3), b = (2,5, -3), and c = (0, 1,4). Determine a + b - c. a. (-4, 9, 4) (4, -9, -4) b. (-4, 7, -4) (-4, -7, 4) 5. If la) = 4, then |-2al =? a. 8 NA b. -8[0. If 5- E = 6, then what isls- Eequal to'.' a. 6 e. 6 1 b. E d. - Consider the diagram on the right, A What is a vector that is opposite to Hi; F e w t: at XE e. ED b. EJ'E d A]? Consider the diagram on the right, I: =m.v=l.andl= a m 2? I a. if + W e. W - ii b. ( + "137) d. "d - 1-1? For which a value will the vector (1. a. n+1) be perpendicular to the vector (3, I, a]? a. H] e. 3 b. *3 d. 0 A force of magnitude 5 N acts on an object. A second force of magnitude TN acts at 50 to the other force. What is the magnitude of the resultant of these two forces? a. 8.60 N e. 11.60 N b. 10.9l N d.12.00 N 11. Given u =(2, 4, -3), v=(3, -1, 7), and w = (1, 0, -2), find a) 3u - 4V IMZ + Al (9 A . n (5 du x w e) u . (v x w) () (ux v ) x w 12. [al = 5, and [b| = 8, and the angle formed by a and b is 55. Determine |4a + b|. Round your answer to 2 d.p