Displacement and distance addition – Rankers Physics

Dimensions: Practice Problem & Solution

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

Short Solution (Best for NEET):

To solve this problem, we apply the core principles of Dimensions. Understanding the underlying formula is key to arriving at the correct answer below:

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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