The surface of a hill is modeled by z = 100 – 3x? – 4y². When a group of hikers reach the point (1, – 2, 81) it begins to snow. They decide to descend the hill as rapidly as possible. Which of the | | following vectors points in the direction they should start their descent?

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
100%

Please Explain all the steps in detail. Please 

The surface of a hill is modeled by z = 100 – 3x? – 4y?. When a group of hikers reach the point
(1, – 2, 81) it begins to snow. They decide to descend the hill as rapidly as possible. Which of the
following vectors points in the direction they should start their descent?
< - бӕ, 16у>
о < 6, — 16 >
о< - 6, 16 >
< ба, — 16у >
O None of the above
Transcribed Image Text:The surface of a hill is modeled by z = 100 – 3x? – 4y?. When a group of hikers reach the point (1, – 2, 81) it begins to snow. They decide to descend the hill as rapidly as possible. Which of the following vectors points in the direction they should start their descent? < - бӕ, 16у> о < 6, — 16 > о< - 6, 16 > < ба, — 16у > O None of the above
Expert Solution
trending now

Trending now

This is a popular 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
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
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,
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