PLEASE ANSWER ALL CORRECTLY AND SHOW ALL WORK FOR ALL OPEN ENDED QUESTIONS ALL INFO IS THERE

How does multiplying a vector by a scalar value of 2t change the vector? (1 point) (O The vector will not change direction but will decrease in magnitude. O The vector will change direction and decrease in magnitude. (O The vector will not change direction but will increase in magnitude. O The vector will change direction and increase in magnitude. A 5-lb. force acting in the direction of (5,-3) moves an object just over 12 ft. from point (0,6) to (7,-4). Find the work done to move the object to the nearest foot-pound. (1 point) O 11 ft. .lbs. O 34 ft. .lbs. 56 ft. .lbs. O 61 ft. .lbs.\fFor v=-4i-5j, 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. (1 point) 4V41. 5141 O u=- 41 41 419 51/9 O 1=- 9 9 4 Q u=- 41 4 Q u= -.Find u* v , if u = 14j and v = i + 4j. (1 point) O 56 O -56 O (1,56) O (0,56)A basketball player shoots the ball with an initial velocity of 14.4 ft./sec. at an angle of 41.9 with the horizontal. To the nearest tenth, find the initial horizontal component of the vector that represents the velocity of the ball. (1 point) O 4.8 ft./sec. O 5.4 ft./sec. O 9.6 ft./sec. O 10.7 ft./sec. Vector u is represented by the directed line segment RS and vector v is represented by the directed line segment OP.If R=(8,-2), =(11,-6), O0=(-3,-9), and P=(0,-13), are u and v equal? Explain how you reached your answer. (4 points) Given that P=(5,4), @=(7.3), R=(8.6), and S=(4,1), find the component form of the vector PJ+3&S . (1 point) O {-10,-16) O (-64) O {-2,-6) O (14,14 Use the information from part A to find the magnitude of the vector @+3. (1 point) O 356 O 26 O 2410 O 2./89 Given that P=(5,4), @=(7.3), R=(8,6), and S=(4.1), find the component form of the vector PO +4RS . (1 point) O (18,19) O {-2,-6) O (-14,-21) O (-18,-19) Use the information from part A to find the magnitude of the vector @+4 : (1 point) O 2.10 O 713 O f35 O 637 Use the information from part A to find the magnitude of the vector P_Q.+SES" : (1 point) O 1,000 O 10410 O 2411 O 2410 Given that P=(54), @=(7.3), R=(86), and =(4.1), find the component form of the vector PJ +5X5 . (1 point) O {22,24) O {-2,-6) O (-18,-26) O {-22,-24} Find the magnitude and direction angle for the vector v = 5 cos 144i + 5 sin 144j. (1 point) & 545867 O 5, 144 Q 10,78 O 25,36 Find the angle between vector u = 3 ++/3j and vector =-2i-5j to the nearest degree. (1 point) O 82 O 38 i A2 O 98 Use the graph to answer the question. The vector u is graphed. Which of the vectors below would be orthogonal to vector u? (1 point) 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? (1 point) O =141mph O %158 mph O %172 mph O 200 mph Use the graph to answer the question. 10 Given vector u = (6,-4) and the graph of vector v, find v- 2u and express the result in terms of i and j. (1 point) 5 O -18i - 8j V O 6i + 6j O 10j -10 -5 5 10 O 24i - 6j -5 -10The dot product of u with itself is 18. What is the magnitude of u? (1 point) O 32 O 6 O 6 O 18 \f=Y 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. (4 points) B 7 VU |iE |