Let a = (6, −3, −5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a. Scalar Projection: -0.239 (B) Decompose the vector b into a component parallel to a and a component orthogonal to a. Parallel component: (-0.171 Orthogonal Component: (7.171 0.086 -2.086 0.143 9.857

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
icon
Related questions
Question

Please don't provide handwritten solution ......

Let a = (6, -3, -5) and b = (7, -2, 10) be vectors.
(A) Find the scalar projection of b onto a.
Scalar Projection: -0.239
(B) Decompose the vector b into a component parallel to a and a component orthogonal to a.
Parallel component: (-0.171
Orthogonal Component: (7.171
0.086
-2.086
0.143
9.857
Transcribed Image Text:Let a = (6, -3, -5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a. Scalar Projection: -0.239 (B) Decompose the vector b into a component parallel to a and a component orthogonal to a. Parallel component: (-0.171 Orthogonal Component: (7.171 0.086 -2.086 0.143 9.857
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 33 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning