Engineering Calculus Notes 27

Engineering Calculus Notes 27 - . (1.11) Here is one way to...

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1.1. LOCATING POINTS IN SPACE 15 P ( x 1 ,y 1 ,z 1 ) Q ( x 2 ,y 2 ,z 2 ) R ( x 2 ,y 2 ,z 1 ) z x y Figure 1.9: Distance in 3-Space Challenge problem: 13. Use Pythagoras’ Theorem and the angle-summation formulas to prove the Law of Cosines : If ABC is any triangle with sides a = | AC | b = | BC | c = | AB | and the angle at C is ACB = θ , then c 2 = a 2 + b 2 2 ab cos
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Unformatted text preview: . (1.11) Here is one way to proceed (see Figure 1.10 ) Drop a perpendicular a b x y z A B C D Figure 1.10: Law of Cosines from C to AB , meeting AB at D . This divides the angle at C into two angles, satisfying + =...
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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