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Unformatted text preview: Math 20C (Shenk). Summer, 2010. Homework 1. Section 12.1: 5, 9, 29, 39, 58, 59 Section 12.2: 5, 9, 19, 25, 27, 31, 39 Section 12.3: 1, 13, 19, 23, 41, 61, 71 Section 12.4: 5, 11, 13, 31, 34, 41, 43, 47 Section 12.5: 1, 11, 13, 15, 21, 23, 44 Section 11.1: 13, 20 Section 13.2: 3, 7, 13, 45, 55 Section 13.3: 1, 3 More problems to be turned in: 1. Three vertices of the parallelogram in the drawing below are P = (3 , 4) ,Q = (7 , 8), and R = (12 , 2). Find the coordinates of the fourth vertex S without using vectors. Then find them by using vectors. x y P (3 , 4) Q (7 , 8) R (12 , 2) S Answer: S = (16 , 6) 2. A bucket of water is supported by two ropes fastened at the same point on the handle. The forces by the ropes on the bucket, relative to xyzspace with an upward pointing zaxis, are F 1 = ( 3 , a, 6 ) (pounds) and F 2 = ( b, − 4 , 5 ) (pounds). What are the numbers a and b ? How much does the bucket weigh?...
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This note was uploaded on 08/31/2011 for the course MATH 20C taught by Professor Helton during the Spring '08 term at UCSD.
 Spring '08
 Helton
 Math, Calculus

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