3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a and b. (b) Find the unit vector, u, in the direction of a. (c) Find the scalar projection on b onto u. (d) Find the vector projection of b onto u. (e) What is the vector projection of b on to a?

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
icon
Related questions
Question

Hi, can someone help me with the question please

3.
Given
a = (--6,6, 3) and b= (1,-1, -2)
(a) Give the exact value of the angle between vectors a and b.
(b) Find the unit vector, u, in the direction of a.
(c) Find the scalar projection on b onto u.
(d) Find the vector projection of b onto u.
(e) What is the vector projection of b on to a?
Transcribed Image Text:3. Given a = (--6,6, 3) and b= (1,-1, -2) (a) Give the exact value of the angle between vectors a and b. (b) Find the unit vector, u, in the direction of a. (c) Find the scalar projection on b onto u. (d) Find the vector projection of b onto u. (e) What is the vector projection of b on to a?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning