If two quantities have same dimensions, do they represent same physical content?

Which of the two have same dimensions

Do the quantities having same dimensions always have same units?

The pair of the quantities having same dimensions is

Assertion if two physical quantities have same dimension, then they can be certainly added or subtracted because Reason if the dimension of both the quantities are same then both the physical quantities should be similar .

The physical quantities not having same dimensions are

The physical quantities not having same dimensions are

STATEMENT-1 The dimensional formula for relative velocity is same as that of the charge in velocity STATEMENT-2 [Relative velocity] = [Change in velocity] STATEMENT-3 In addition or subtraction of two physical quantities of same dimension, the result also have same dimensIon only.

The fundamental physical quantities that have same dimensions in the dimensional formula of torque and Angular momentum are

As far as mechanics is concerned all systems of units are having the same dimensions for a given physical quantity. But for thermodynamics, electricity, magnetism and electromagnetics this is not the case. Why?

The pair of vector quantities haivng the same dimensions is