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