jerri-3-2-1 - 3.2 Algebraic Vectors Adding Vectors To add...

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Unformatted text preview: 3.2 Algebraic Vectors Adding Vectors To add vectors, add corresponding components. 1 -2 -1 + = Example: 2 4 6 When we add two vectors we're finding the "resultant force". A classic example: Consider a pin being pulled in two directions v u What the pin actually "feels" is the sum of the two vectors. v u+v u Example: Let A = (3, -1), B = (6 , 4), C = (3, 2) and D = (7,2). If !!! " !!! " u = AB & v = CD (a) Find u + v. !!!" (b) Find K such that u + v = AK " !!! 6 - 3 3 !!! 7 - 3 4 " AB = = 5 CD = 2 - 2 = 0 4 - -1 3 4 7 u+v = + = 5 0 5 K = ( k1 , k2 ) !!!" k1 - 3 7 AK = = k2 + 1 5 k1 = 10 k2 = 4 K = (10, 4) ...
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This note was uploaded on 11/11/2008 for the course MATH 1114 taught by Professor Jhengland during the Fall '08 term at Virginia Tech.

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