Physics - Vectors Question with Solution | TestHub
Assertion (A): The magnitude of the resultant of two vectors can be less than the magnitude of either vector.
Reason (R): The resultant of two vectors is obtained by the triangle law of vector addition.
A) Both Assertion and Reason are true and the Reason is the correct explanation of the Assertion. B) Both Assertion and Reason are true but the Reason is not the correct explanation of the Assertion. C) Assertion is true but the Reason is false. D) Assertion is false but the Reason is true.
Options:
Answer:
Solution:
Assertion (A) is true. For example, if two vectors of magnitudes 5 units and 3 units are antiparallel, their resultant magnitude is units, which is less than both 5 and 3.
Reason (R) is also true, as the triangle law is a method for vector addition.
However, the Reason does not explain why the magnitude of the resultant can be less than either vector. This property depends on the angle between the vectors, specifically when they are not in the same direction.
