Physics - Vectors Question with Solution | TestHub
Assertion (A): A vector can be resolved into two components along any two non-collinear directions.
Reason (R): The process of resolving a vector into components is unique for a given set of directions.
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. Any vector can be uniquely expressed as the vector sum of two components along any two specified non-collinear directions.
Reason (R) is true. For a given vector and two non-collinear directions, there is only one unique pair of components along those directions.
The uniqueness of resolution (Reason) is the fundamental principle that allows a vector to be resolved into components along any two non-collinear directions (Assertion).
