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Unformatted text preview: 32 Chapt. 3 Vectors and Trigonometry Full-Answer Problems 003 qfull 00350 1 3 0 easy math: prove law of sines 1. The law of sines is sin a a = sin b b = sin c c , where a , b and c are the sides of a general triangle and a , b , c are the angles opposite those sides. Prove the law of sines. HINT: Use trigonometry and draw an illustrative diagram. 003 qfull 00510 1 3 0 easy math: adding two vectors 2. You are given two vectors in component form: vector A = (3 . 2 , 4 . 2) and vector B = ( 10 . 5 , 3 . 0) . a) Give the vector sum vector A + vector B and vector difference vector A vector B in component form. b) What is the magnitude of vector A + vector B ? c) What is the angle of vector A + vector B relative to the positive x-axis? The positive x-axis is the normal reference direction on the Cartesian plane. 003 qfull 00640 2 3 0 moderate math: vector identity: sum and difference 3. If the sum of two vectors is perpendicular to their difference, prove that the vectors have equal3....
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This note was uploaded on 11/16/2011 for the course PHY 2053 taught by Professor Buchler during the Fall '06 term at University of Florida.
- Fall '06