1. A golfer takes three putts to get his ball into the hole once he is on the green. The first putt displaces the ball 12 ft. north, the second 6 ft. southeast, and the third 3 ft. southwest. What displacement is needed to get the ball into the hole on the first putt?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A golfer takes three putts to get his ball into the hole once he is on the
green. The first putt displaces the ball 12 ft. north, the second 6 ft.
southeast, and the third 3 ft. southwest. What displacement is needed
to get the ball into the hole on the first putt?
2. Given two vectors a = 4i-3j and b = 6i+8j, find the magnitude and
%3D
directions of a, of b, of a + b, of b - a and of a - b
3. Two vectors a and b of lengths a and b make an angle 0 with each other
when placed tail to tail. Prove, by taking components along two
perpendicular axes, that the length of their sum is
r= Va? + b2 + 2abcose
Transcribed Image Text:1. A golfer takes three putts to get his ball into the hole once he is on the green. The first putt displaces the ball 12 ft. north, the second 6 ft. southeast, and the third 3 ft. southwest. What displacement is needed to get the ball into the hole on the first putt? 2. Given two vectors a = 4i-3j and b = 6i+8j, find the magnitude and %3D directions of a, of b, of a + b, of b - a and of a - b 3. Two vectors a and b of lengths a and b make an angle 0 with each other when placed tail to tail. Prove, by taking components along two perpendicular axes, that the length of their sum is r= Va? + b2 + 2abcose
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