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 dimesions , (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 .

Answer

Only (c ) and (d) are permissible