1. How does multiplying a vector by a scalar value of 2:": change the vector? (1 point) The vector will not change direction but will decrease in magnitude. The vector will change direction and decrease in magnitude. The vector will not change direction but will increase in magnitude. The vector will change direction and increase in magnitude. 2. A 4lb. force acting in the direction of {4, 2> moves an object just over 7 ft. 'om point [0, 4:] (I paint) to [5, 1:1. Find the work done to move the object to the nearest footpound. 35 ft.-lbs. 27 ft.-lbs. 18 ft.-lbs. 7 ft.-lbs. 3. Find the component form of u v given that u = {2, 3} and v = {2:4}. (1 point) {can (aa {cu11> {-44} 4. For v = 4i Sj , nd unit vector u in the direction of v, and write your answer as a linear (I pointy combination of the standard unit vectors i and j. 4M. 5m. u= 1] 41 41 u=4Ji5Jj 9 9 4. 5. u=1] 41 41 4. 5. u=1] 9 9 5. Find u* v , if u = 14j and v = i + 4j. (1 point) 056 O-56 O (1,56) O (0,56) 6. A basketball player shoots the ball with an initial velocity of 17.1 ft./sec. at an angle of 45.6 (1 point) with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball. 5.1 ft./sec. O 12.0 ft./sec. O12.2 ft./sec. O17.5 ft./sec.7. Vector u is represented by the directed line segment E37 and vector v is represented by the (4 points) directed line segment 55.11" R = (8,2) , S" =(11,6) , O = (3,9) , and P = (0,13), are u and v equal? Explain how you reached your answer. 8. Part A Given that P= (5,4), @= (7,3), R= (8,6), and S = (4,1), find the component form of the vector PO+3RS . (1 point) O (-10,-16) O (-6,4) O (-2,-6) O (14, 14) Part B Use the information from part A to find the magnitude of the vector PO+3RS. (1 point) 356 O V/26 O2V10 O21/899. Part A Given that P= (5,4), 0= (7,3), R= (8, 6), and S= (4,1), find the component form of the vector PO+4RS . (1 point) (18, 19) O (-2,-6) O (-14,-21) O (-18,-19) Part B Use the information from part A to find the magnitude of the vector PO+4RS . (1 point) O2/10 0 7V/13 O V35 637