Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar Projection: (B) Decompose the vector orthogonal to a. into a component parallel to a and a component Parallel component: Orthogonal Component:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
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Let a = (-2, -1,9) and b = (-8,4,3) be vectors.
(A) Find the scalar projection of u onto a.
Scalar Projection:
(B) Decompose the vector » into a component parallel to a and a component
orthogonal to a.
Parallel component:
)
Orthogonal Component:
Transcribed Image Text:Let a = (-2, -1,9) and b = (-8,4,3) be vectors. (A) Find the scalar projection of u onto a. Scalar Projection: (B) Decompose the vector » into a component parallel to a and a component orthogonal to a. Parallel component: ) Orthogonal Component:
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