Let a = (-10, -4, 6) and b = (4, 5, -7) be vectors. (A) Find the scalar projection of b onto a. Scalar Projection: (B) Decompose the vector b into a component parallel to a and a component orthogonal (perpendicular) to a. Parallel component: 0 Orthogonal Component: (00

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 50E
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Let a = (-10, -4, 6) and b = (4, 5, −7) be vectors.
(A) Find the scalar projection of b onto a.
Scalar Projection:
(B) Decompose the vector b into a component parallel to a and a component orthogonal (perpendicular) to a.
Parallel component: 000
Orthogonal Component: 00
Transcribed Image Text:Let a = (-10, -4, 6) and b = (4, 5, −7) be vectors. (A) Find the scalar projection of b onto a. Scalar Projection: (B) Decompose the vector b into a component parallel to a and a component orthogonal (perpendicular) to a. Parallel component: 000 Orthogonal Component: 00
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