Displacement and distance addition – Rankers Physics
Topic: Unit And Dimensions
Subtopic: Dimensions

Displacement and distance addition

Assertion (A): A displacement can be added with a distance.
Reason (R): Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Displacement is a vector quantity while distance is a scalar quantity. Scalars and vectors cannot be added directly even if they have the same dimensions, making both statements false.

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