Let a = (6, −3, −5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a. Scalar Projection: -0.239 (B) Decompose the vector b into a component parallel to a and a component orthogonal to a. Parallel component: (-0.171 Orthogonal Component: (7.171 0.086 -2.086 0.143 9.857

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Let a = (6, -3, -5) and b = (7, -2, 10) be vectors.
(A) Find the scalar projection of b onto a.
Scalar Projection: -0.239
(B) Decompose the vector b into a component parallel to a and a component orthogonal to a.
Parallel component: (-0.171
Orthogonal Component: (7.171
0.086
-2.086
0.143
9.857
Transcribed Image Text:Let a = (6, -3, -5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a. Scalar Projection: -0.239 (B) Decompose the vector b into a component parallel to a and a component orthogonal to a. Parallel component: (-0.171 Orthogonal Component: (7.171 0.086 -2.086 0.143 9.857
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