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Problem 6. (1 point) Determine whether the vectors AB and PQ) are equivalent. B = (0-8), P=(-21, 0@ * Select » Equivalent » Not Equivalent Answer(s) submitted: e Equivalent (correct) Problem 7. (1 point) Let R = (—3,—5). Find the point P such that PR has components (0,-2). P=—_ Answer(s) submined: e (-3,-3) (correct) Problem 8. (1 point) What is the terminal point of the vector a = (3,5) based at P=(53)? Answer: Problem 10. (1 point) A child walks due east on the deck of a ship at 2 miles per hour. The ship is moving north at a speed of 1 miles per hour. Find the speed and direction of the child relative to the surface of the water. Speed = mph The angle of the direction from the north= (radians) Answer(s) submined: e 2.236 e 1.107 (correct) Problem 11. (1 point) A horizontal clothesline is tied between 2 poles, 14 meters apart. When a mass of 3 kilograms is tied to the middle of the clothes- line, it sags a distance of 3 meters. What is the magnitude of the tension on the ends of the clothes- line? NOTE: Use g = 9.8m/s” for the gravitational acceleration. Tension = N Answer(s) submined: e 37.31 (correct) Answer(s) submined: e (8,8) (correct) Problem 9. (1 point) Find a vector a that has the same direction as (—10,5,10) but has length 3. Answer. a = Answer(s) submined: ® <-2,1,2> (correct) Problem 12. (1 point) The nine Ring Wraiths want to fly from Barad-Dur to Rivendell. Rivendell is directly north of Barad-Dur. The Dark Tower reports that the wind is coming from the west at 51 miles per hour. In order to travel in a straight line, the Ring Wraiths decide to head northwest. At what speed should they fly (omit units)? Answer(s) submined: e 72,125 (correct)