How does multiplying a vector by a scalar value of -rrchange the vector? 0 A. The vector will change direction and increase in magnitude. 0 B. The vector will change direction and decrease in magnitude. 0 C. The vector will not change direction but will increase in magnitude. 0 D. The vector will not change direction but will decrease in magnitude. A 4-lb. force acting in the direction of (4,-2) moves an object just over 7 ft. from point (0,4) to (5,-1) . Find the work done to move the object to the nearest foot-pound. O A. 35 ft. Ibs. O B. 27 ft. .lbs. O C. 18 ft. . lbs. O D. 7 ft. . lbs.Find the component form of -u - v given that u = (-5,6) and v = (7,-3). O A. (12,9) O B. (2,3) O C. (-2,-3) O D. (-12,-9)For v=-5i-2j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vectors i and j. O A. 1= - O B. 5 2 1=- 29 29 O C. 5/29 1=- i- 2V/29 29 29 O D. 51/7 2V/7 1=- 7 7\fA basketball player shoots the ball with an initial velocity of 15.8 ft./sec. at an angle of 43.8 with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball. O A. 4.4 ft./sec. O B. 10.9 ft./sec. O C. 11.4 ft./sec. O D. 15.2 ft./sec.Vector u is represented by the directed line segment and vector v is represented by the directed line segment . If R = (8,2), S =[1 1,6) , O= [3,9) , and P= (0:13), are u and 1: equal? Explain how you reached your answer. \fUse the information from part A to find the magnitude of the vector PQ+3RS. O A. 356 O B. /26 O C. 2V10 O D. 21/89\fUse the information from part A to nd the magnitude of the vector 179.44%. 0 A. 2J1?) O 3.7413 Given that P= (5,4) , Q= (7,3), R= (8,6), and S= (4,1), find the component form of the vector PO+5RS . O A. (22,24 ) O B. (-2, -6) O C. (-18,-26) O D. (-22,-24)Use the information from part A to find the magnitude of the vector PO+5RS . O A. 1,000 O B. 10 /10 O C. 2411 O D. 2V/100' Find the magnitude and direction angle for the vector v = 6 cos 137i + 6 sin 13? ] O A. 6,137\" O B. 6, 43 0 0. 545,4? 0 D. 541137" Find the angle between vector u=i+j and vector 1r=i4j to the nearest degree. 0 A. 173 0 B. 145 0 C. 115 0 D. 97 'v: -5 J, Use the graph to answer the question. The vector u is graphed. Which of the vectors below would be orthogonal to vector u? O A. (12, 10 ) O B. (5,6) O C. O D. -3,A private plane is traveling due east at a rate of 150 mph. A south wind is blowing 50 mph. What is the actual velocity of the plane? O A. $141mph O B. $ 158 mph O C. $ 172 mph O D. $ 200 mph10 1n .1\" Use the graph to answer the question. Given vector u = (4,3} and the graph of vector v, nd v 3n and express the result in terms ofi and j. O A. 11j O B. 241 - 7j O C. -321-9j O D. 8i + 5jThe dot product of u with itself is 18. What is the magnitude of u? O A. 31/2 O B. O C. 6 O D. 18\f-5 V 5 u .5 Use the image to answer the question. Vectors u and v are graphed. Explain in detail each step necessary to find the angle between the two vectors and find the angle in degrees