Question 3 (1 point) Which of the following vectors is equivalent to the vector with magnitude 2 units that is oriented 60 above the positive x axis? O a) (3, 4) O b) ( 1, V3) Od ( v 3, 1) O d) ( v2, 1 ) Question 4 (1 point) ABCD is the parallelogram shown above. Express AC in terms of any other vectors. O a) AC = BC + CD O b) AC = AB + BE O c) AC = AD + DC O d) AC = AD + AB Question 5 (1 point) If a = (5, 2) and b = (-3, 1), then which of the following vectors represent 3a - 2b? O a) (9, 4) O b) (9, 8 ) O c) (21, 8) O d) (21, 4) Question 6 (1 point) Let a = (5, 2) and b = (-3, 1), find a . b. a) 17 Ob) -13 O c) 5Question 7 (1 point) Let a = (1, 2, 3) and b = (-2, 0, 3). Find 2a + 3b. a) (-4, 4, 15) O b) ( - 2, 0, 9) O c) (8, 2, 6 ) O d) (-1, 2, 6 ) Question 8 (1 point) Given the vectors a = (1, 3, 4) and b = (4, 5, -4), which of the following represent a x b? ( a) (8, -20, 7) b) (-32, 20, -7) O c) (4, 15, 16) O d) - 3 Question 9 (1 point) In the previous question, what is the angle between the two given vectors to the nearest degree? ( a) 940 O b) 860 O c) 360 O d) 240 Question 10 (1 point) A math student is walking with a velocity of 5 m/s [N53*E]. Which of the following is the Eastern component of this velocity in m/s? O a) 2 O b ) 3 O c) 4 O d) 5 Question 11 (1 point) 30 Consider the vectors P and q . Calculate p . q if [p| = 4 cm and lal = 5 cm and the angle between them is 30 O a) 10V3 O b) 600 Ocgv3 O d) 1030' _\\ _x Consider the vectors p and q . Calculate p o q if |p| = 4 cm and |q| = angle between them is 30". O a} 10? O b' 600 O C) 9V1? 0 d3 10 Question 12 [1 point) If G = (0,2. 3) and G = (1, 3, -1}, find the projection of 6 onto 6. 031%3 o 3_~. Olv Oo(1,1,1) Owent) Previous Page Next Page