I was not able to finish this homework problem. Please help me solve it! Thank you. ExampleVideo ExampleFind the scalar projection and vector projection of b = (4, 1, 1) onto a = (-1, 3, 4).SolutionSince Jal = V(-1)2 + 32 + 42 = V26, the scalar projection of b onto a is%3Da · b(-1)(4) + 3(1) + 4(1)compab|alV 26The vector projection is this scalar projection times the unit vector in the direction of a, below.aprojąb =|a|

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Example Video Example Find the scalar projection and vector projection of b = (4, 1, 1) onto a = (-1, 3, 4). Solution Since |al = V(-1)² + 32 + 42 = V26, the scalar projection of b onto a is a· b (-1)(4) + 3(1) + 4(1) comp,b |a| 26 The vector projection is this scalar projection times the unit vector in the direction of a, below. proj,b = |a|

Example Video Example Find the scalar projection and vector projection of b = (4, 1, 1) onto a = (-1, 3, 4). Solution Since |al = V(-1)² + 32 + 42 = V26, the scalar projection of b onto a is a· b (-1)(4) + 3(1) + 4(1) comp,b |a| 26 The vector projection is this scalar projection times the unit vector in the direction of a, below. proj,b = |a|

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 23E

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