Compute fa(P) where is a unit vector in the direction of . a) f(x, y) = x² + 2xy + 3y², P = (2,1), v = (1, 1) (Answ: 8√2) b) f(x, y, z) = xy + yz + zx, P = (1,-1,2), v= (1, 1, 1) (Answ: 4√3

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
icon
Related questions
Question
Compute fa(P) where u is a unit vector in the direction of 7.
a) f(x, y) = x² + 2xy + 3y², P = (2, 1), v = (1, 1) (Answ: 8√2)
b) f(x, y, z) = xy + yz+zx, P = (1,-1,2), v = (1, 1, 1) (Answ: 4√3
Transcribed Image Text:Compute fa(P) where u is a unit vector in the direction of 7. a) f(x, y) = x² + 2xy + 3y², P = (2, 1), v = (1, 1) (Answ: 8√2) b) f(x, y, z) = xy + yz+zx, P = (1,-1,2), v = (1, 1, 1) (Answ: 4√3
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 & 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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,