Question

# Assertion: The sum of two vectors can be zero. Reason: The vector cancels each other when they are equal and opposite.

A

both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.

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B

both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.

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C

Assertion is true but Reason is false.

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D

Assertion and Reason both are false.

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E

Assertion is false but Reason is true

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Solution

## The correct option is A both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.Explanation of the Assertion statement,When the two vectors are equal and opposite in direction, then their sum will be equal to zero.Explanation of the Reason statement,Both the vectors will cancel out each other because they are of the same magnitude and in opposite directions.Therefore, we can say both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.Hence, option (A) is correct.

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