EXAMPLE 6 Find the scalar projection and vector projection of b = (2, 4, 2) onto...
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EXAMPLE 6 Find the scalar projection and vector projection of b = (2, 4, 2) onto a = (-2, 3,2). SOLUTION Since la = √(-2)² + 3² +2²= √√17, the scalar projection of b onto a is (-2)(2) + 3(4) + 2(2) 17 compab = projab = = a + b |a| 12√17 17 The vector projection is this scalar projection times the unit vector in the direction of a, below. 12√17 17 a |a| = || X EXAMPLE 6 Find the scalar projection and vector projection of b = (2, 4, 2) onto a = (-2, 3,2). SOLUTION Since la = √(-2)² + 3² +2²= √√17, the scalar projection of b onto a is (-2)(2) + 3(4) + 2(2) 17 compab = projab = = a + b |a| 12√17 17 The vector projection is this scalar projection times the unit vector in the direction of a, below. 12√17 17 a |a| = || X
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South Western Federal Taxation 2015 Essentials of Taxation Individuals and Business Entities
ISBN: 9781285438290
18th edition
Authors: James Smith, William Raabe, David Maloney, James Young
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