Let a = (3, 5, 3) and b (A) Find the scalar projection of b onto a. Scalar Projection: = (7, 10, 7) be vectors. (B) Decompose the vector b into a component parallel to a and a component orthogonal to a. Parallel component: Orthogonal Component:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let a = (3, 5, 3) and b = (7, 10, 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 to a.
Parallel component: 0
Orthogonal Component:
P
Transcribed Image Text:Let a = (3, 5, 3) and b = (7, 10, 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 to a. Parallel component: 0 Orthogonal Component: P
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