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Assertion: A vector is a quantity that has both magnitude and direction and obeys the triangle law of addition. Reason: The magnitude of the resultant vector of two given vectors can never be less than the magnitude of any of the given vectors.

1. Both A and R are true and R is the correct explanation of A.
2. Both A and R are true but R is not the correct explanation of A.
3. A is true but R is false.
4. A and R are false.

Correct answer: A is true but R is false.

Solution

The assertion is true because a vector has magnitude and direction and follows the triangle law of addition. The reason is false because the resultant of two vectors can be smaller than either vector, for example when they act in opposite directions.

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