Chapter 9: Q. 21 (page 603)

Use the figure at the right. Determine whether the given statement is true or false.
$E + D = G + H$

Short Answer

Expert verified

The given statement is False.

Step by step solution

Step 1. Given Information

We are given a statement $E + D = G + H$ and we need to find if the statement is true or false.

Step 2. Proving the statement

$G + H$ implies addition of two vectors.

So the terminal point of the vector $H$ is joined with the initial point of the vector $G$ forming vector $G + H$ .

The vectors $E, D$ cannot be added because the terminal points of the vectors role="math" localid="1646714615588" $E, D$ are joined.

Again, the initial and terminal points of vectors $E + D, G + H$ should coincide., which is not the case.

$∴ E + D \neq G + H$

Therefore, the given statement $E + D = G + H$ is false.

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.

Use the figure at the right. Determine whether the given statement is true or false.
$E + D = G + H$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Proving the statement

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Statistics

Pure Maths

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

Use the figure at the right. Determine whether the given statement is true or false. E+D=G+H

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Proving the statement

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Statistics

Pure Maths

Mechanics Maths

Calculus

Study anywhere. Anytime. Across all devices.

Use the figure at the right. Determine whether the given statement is true or false.
$E + D = G + H$