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Unformatted text preview: tokarski (at23678) Vectors Morozova (11104) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (5 . 6,6 . 9), where the units are meters, what is the distance of the fly from the corner of the room? Correct answer: 8 . 88651 m. Explanation: Given : x = 5 . 6 m and y = 6 . 9 m . Using the Pythagorean Theorem, d = radicalBig ( x ) 2 + ( y ) 2 = radicalBig (5 . 6 m) 2 + (6 . 9 m) 2 = 8 . 88651 m . 002 (part 1 of 2) 10.0 points Two points in the xy plane have cartesian coordinates ( x 1 , y 1 ) and ( x 2 , y 2 ), where x 1 = 5 . 5 m, y 1 = 10 m, x 2 = 10 m, and y 2 = 8 . 8 m. Find the distance between these points. Correct answer: 24 . 3658 m. Explanation: By simple geometry of triangle, the dis- tance between two points is d = radicalBig ( x 2 x 1 ) 2 + ( y 2 y 1 ) 2 = { [ 10 m (5 . 5 m)] 2 + [8 . 8 m ( 10 m)] 2 } 1 / 2 = 24 . 3658 m . 003 (part 2 of 2) 10.0 points What is the angle between the line connecting the two points and x-axis (measured counter- clockwise from the x-axis), within the limits of 180 to +180 )? Correct answer: 129 . 504 . Explanation: The angle is = arctan parenleftbigg y 2 y 1 x 2 x 1 parenrightbigg = arctan bracketleftbigg 8 . 8 m ( 10 m) 10 m (5 . 5 m) bracketrightbigg = 129 . 504 ....
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solution_pdf - tokarski (at23678) Vectors Morozova (11104)...

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