(a) Use the inner product (u, v) = 2u₁v, +3u₂v₂ +₂v for u=(8,0,-8) and v=(8,3,16) in R³ to find (i) (u, v) (ii) |u| (iii) unit vector in the direction of v.

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

answer 1,2,3 show proper workinhg

(a) Use the inner product (u, v) = 2u₁v, +3u₂v₂ +µv² for u =(8,0,-8) and v=(8,3,16) in R³ to
find
(i) (u, v)
(ii) u
(iii) unit vector in the direction of v.
(iv) d(u, v)
(v) angle between u and v.
(vi) proj,u
Transcribed Image Text:(a) Use the inner product (u, v) = 2u₁v, +3u₂v₂ +µv² for u =(8,0,-8) and v=(8,3,16) in R³ to find (i) (u, v) (ii) u (iii) unit vector in the direction of v. (iv) d(u, v) (v) angle between u and v. (vi) proj,u
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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