The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Expert Solution & Answer

Answer to Problem 1RE

The given statement is true_.

Explanation of Solution

A vector should have magnitude and direction.

Let A and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of A+B is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is true_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Q1) Classify the following statements as a true or false statements a. Any ring with identity is a finitely generated right R module.- b. An ideal 22 is small ideal in Z c. A nontrivial direct summand of a module cannot be large or small submodule d. The sum of a finite family of small submodules of a module M is small in M A module M 0 is called directly indecomposable if and only if 0 and M are the only direct summands of M f. A monomorphism a: M-N is said to split if and only if Ker(a) is a direct- summand in M & Z₂ contains no minimal submodules h. Qz is a finitely generated module i. Every divisible Z-module is injective j. Every free module is a projective module Q4) Give an example and explain your claim in each case a) A module M which has two composition senes 7 b) A free subset of a modale c) A free module 24 d) A module contains a direct summand submodule 7, e) A short exact sequence of modules 74.

************* ********************************* Q.1) Classify the following statements as a true or false statements: a. If M is a module, then every proper submodule of M is contained in a maximal submodule of M. b. The sum of a finite family of small submodules of a module M is small in M. c. Zz is directly indecomposable. d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M. e. The Z-module has two composition series. Z 6Z f. Zz does not have a composition series. g. Any finitely generated module is a free module. h. If O→A MW→ 0 is short exact sequence then f is epimorphism. i. If f is a homomorphism then f-1 is also a homomorphism. Maximal C≤A if and only if is simple. Sup Q.4) Give an example and explain your claim in each case: Monomorphism not split. b) A finite free module. c) Semisimple module. d) A small submodule A of a module N and a homomorphism op: MN, but (A) is not small in M.

Prove that Σ prime p≤x p=3 (mod 10) 1 Ρ = for some constant A. log log x + A+O 1 log x "

Answer 2

Question

Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Expert Solution & Answer

Answer to Problem 1RE

The given statement is true_.

Explanation of Solution

A vector should have magnitude and direction.

Let A and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of A+B is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is true_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Expert Solution & Answer

Answer to Problem 1RE

The given statement is true_.

Explanation of Solution

A vector should have magnitude and direction.

Let A and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of A+B is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is true_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Expert Solution & Answer

Answer to Problem 1RE

The given statement is true_.

Explanation of Solution

A vector should have magnitude and direction.

Let A and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of A+B is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is true_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Expert Solution & Answer

Answer to Problem 1RE

The given statement is true_.

Explanation of Solution

A vector should have magnitude and direction.

Let A and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of A+B is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is true_.

Answer 6

Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Expert Solution & Answer

Answer to Problem 1RE

The given statement is true_.

Explanation of Solution

A vector should have magnitude and direction.

Let A and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of A+B is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is true_.

Answer 7

Chapter 9, Problem 1RE

To determine

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Answer 8

Expert Solution & Answer

Answer to Problem 1RE

The given statement is true_.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

A vector should have magnitude and direction.

Let A and B are two vectors of magnitudes A and B respectively.

While adding two vectors by using a diagram, start with the tail of the first vector and it head should touch the tail of the second vector.

By polygon method, the vector sum of A+B is the resultant vector R, which is drawn from the tail of A to the head of B.

Therefore, the sum is the vector from the tail of the first to the head of the second

Thus, the given statement is true_.

Answer 12

Ch. 9.1 - For the vectors in Example 2, show that R = B + C...Ch. 9.1 - Prob. 2PE Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Concept explainers

Videos

The statement “To add two vectors by use of a diagram, place the tail of the second at the head of the first, keeping magnitudes and directions. The sum is the vector from the tail of the first to the head of the second” is true or false.

Answer to Problem 1RE

Explanation of Solution

Want to see more full solutions like this?

Chapter 9 Solutions