Let a = (5, 6,-4) and b = (-3, 4, −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: ( Orthogonal Component: (

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let a = (5, 6, −4) and b = (-3, 4, −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: (
Orthogonal Component: (
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Transcribed Image Text:Let a = (5, 6, −4) and b = (-3, 4, −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: ( Orthogonal Component: ( " " "
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