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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: (

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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: ( [ ] , [ ] , [ ] )
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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