Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Question

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Answer 1

Question

Chapter 3, Problem 1CQ

To determine

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Expert Solution & Answer

Answer to Problem 1CQ

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Explanation of Solution

Two vectors are said to be equal if and only if their magnitude as well as their direction are equal.

When two vectors have same magnitude, it is not necessary that their direction is also same. Thus two vectors with same magnitude need not necessarily be equal.

When two vectors have different magnitude, even if their direction is same, are not equal.

Conclusion:

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

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Answer 2

Question

Chapter 3, Problem 1CQ

To determine

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Expert Solution & Answer

Answer to Problem 1CQ

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Explanation of Solution

Two vectors are said to be equal if and only if their magnitude as well as their direction are equal.

When two vectors have same magnitude, it is not necessary that their direction is also same. Thus two vectors with same magnitude need not necessarily be equal.

When two vectors have different magnitude, even if their direction is same, are not equal.

Conclusion:

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

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Answer 3

Question

Chapter 3, Problem 1CQ

To determine

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Expert Solution & Answer

Answer to Problem 1CQ

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Explanation of Solution

Two vectors are said to be equal if and only if their magnitude as well as their direction are equal.

When two vectors have same magnitude, it is not necessary that their direction is also same. Thus two vectors with same magnitude need not necessarily be equal.

When two vectors have different magnitude, even if their direction is same, are not equal.

Conclusion:

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

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Answer 4

Question

Chapter 3, Problem 1CQ

To determine

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Expert Solution & Answer

Answer to Problem 1CQ

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Explanation of Solution

Two vectors are said to be equal if and only if their magnitude as well as their direction are equal.

When two vectors have same magnitude, it is not necessary that their direction is also same. Thus two vectors with same magnitude need not necessarily be equal.

When two vectors have different magnitude, even if their direction is same, are not equal.

Conclusion:

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

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Answer 5

Chapter 3, Problem 1CQ

To determine

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Expert Solution & Answer

Answer to Problem 1CQ

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Explanation of Solution

Two vectors are said to be equal if and only if their magnitude as well as their direction are equal.

When two vectors have same magnitude, it is not necessary that their direction is also same. Thus two vectors with same magnitude need not necessarily be equal.

When two vectors have different magnitude, even if their direction is same, are not equal.

Conclusion:

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Answer 6

Chapter 3, Problem 1CQ

To determine

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Expert Solution & Answer

Answer to Problem 1CQ

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Explanation of Solution

Two vectors are said to be equal if and only if their magnitude as well as their direction are equal.

When two vectors have same magnitude, it is not necessary that their direction is also same. Thus two vectors with same magnitude need not necessarily be equal.

When two vectors have different magnitude, even if their direction is same, are not equal.

Conclusion:

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Answer 7

Chapter 3, Problem 1CQ

To determine

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Answer 8

Expert Solution & Answer

Answer to Problem 1CQ

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Two vectors are said to be equal if and only if their magnitude as well as their direction are equal.

When two vectors have same magnitude, it is not necessary that their direction is also same. Thus two vectors with same magnitude need not necessarily be equal.

When two vectors have different magnitude, even if their direction is same, are not equal.

Conclusion:

Two vectors with equal magnitude need not be equal. Two vectors with different magnitude cannot be equal.

Answer 12

Ch. 3.1 - Conceptual Practice Problem 3.1 Bank Balance When...Ch. 3.1 - Prob. 3.2PP Ch. 3.2 - Two displacements and have x- and y-components...Ch. 3.2 - Prob. 3.3PP Ch. 3.2 - Prob. 3.2BCP Ch. 3.3 - Prob. 3.4PP Ch. 3.4 - Prob. 3.4ACP Ch. 3.4 - Prob. 3.4BCP Ch. 3.4 - Prob. 3.5PP Ch. 3.4 - Prob. 3.4CCP

Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

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Whether two vectors with same magnitude are necessarily equal. Whether two vectors with different magnitudes can be equal.

Answer to Problem 1CQ

Explanation of Solution

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Chapter 3 Solutions