We can categorize only physical quantities into scalars and vectors.
State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful:
(a) adding any two scalars, (b) adding a scalar to a vector of the same dimensions, (c) multiplying any vector by any scalar, (d) multiplying any two scalars, (e) adding any two vectors, (f) adding a component of a vector to the same vector.
Can you add two vectors representing physical quantities having different dimensions? Can you multiply two vectors representing physical quantities having different dimensions?
What is physical quanties in physics? What are its two types scalars and vectors? How can we classify any physical quantities into scalars and vectors? Please explain clearly and little bit in an easy manner so that i can understand it properly especially scalars and vectors.