Chapter 14: Q. 11 (page 1095)

What is the difference between the graphs of
$G (x, y) = x i + y j a n d F (x, y) = - x i + (- y) j$

Short Answer

Expert verified

The difference between the graphs are $F (x, y) = - G (x, y); at (0, 0)$ .

Step by step solution

Step 1.Given Information

What is the difference between the graphs of

$G (x, y) = x i + y j a n d F (x, y) = - x i + (- y) j$

Step 2. The given vector is G(x,y)=xi+yj and F(x,y)=−xi+(-y)j.

$For every point (x, y) \in ℝ^{2} We can write F (x, y) as F (x, y) = - x i + (- y) j F (x, y) = - x i - y j F (x, y) = - (x i + y j) As we know G (x, y) = x i + y j So we can write F (x, y) = - G (x, y) Hence F (x, y) = - G (x, y); at (0, 0)$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

What is the difference between the graphs of
$G (x, y) = x i + y j a n d F (x, y) = - x i + (- y) j$

Short Answer

Step by step solution

Step 1.Given Information

Step 2. The given vector is G(x,y)=xi+yj and F(x,y)=−xi+(-y)j.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

What is the difference between the graphs ofG(x,y)=xi+yjandF(x,y)=−xi+(-y)j

Short Answer

Step by step solution

Step 1.Given Information

Step 2. The given vector is G(x,y)=xi+yj and F(x,y)=−xi+(-y)j.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

What is the difference between the graphs of
$G (x, y) = x i + y j a n d F (x, y) = - x i + (- y) j$