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Pre-Calculus Practice Problem 147

Pre-Calculus Practice Problem 147 - Describe each vector...

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Unit 4, Activity 7, Algebraic Representation of Vectors with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 145 Comprehensive Curriculum, Revised 2008 8. A boy can paddle a canoe at 5 mph. Suppose he wants to cross a river whose current is moving at 2 mph. At what angle α to the perpendicular from one bank to the other should he direct his canoe? Slide the vector representing the current up so that its initial point is at the terminal point of the vector representing the velocity of the canoe. Then = F H G I K J sin 1 2 5 . = 24 o . Writing activity: Below are four very common applications of vectors and their peculiar method of indicating direction.
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Unformatted text preview: Describe each vector quantity and sketch a picture. 1. A force f of 20 lb at 60 o The angle is measured counterclockwise from the positive x-axis to the vector. The magnitude of the vector is 20. 2. A velocity v of 500 mph at 100 o . The angle, called a heading, bearing, or course is measured clockwise from the north to the velocity vector. 3. Wind velocity w of 10 knots from 200 o The angle is measured clockwise from north to the direction from which the wind is blowing. 4. A displacement OA from O to A of 25 km N30 o W The angle is measured from north (or south) toward west (or east). . 5 2 current...
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