State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful:
(i) Adding any two scalars (ii) Adding a scalar to a vector of the same dimensions
(iii) Multiplying any vector by any scalar (iv) Multiplying any two scalars
(v) Adding any two vectors

State with reasons whether the following algebric operations with scalar and vector phisical 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) multiplaying any two scalars (e) adding any two vectors (f) adding a component of a vector to the same vector .

State with reasons, whether the following algebraic operations with scalars and vectors ar meaningful. (a) Adding any scalar. 9b0 multiplying any tow sclars (e ) Adding any two vectors (f) Adding a component of a vector to the same vector.

Define scalar produt of two vectors.

Classify the following as scalar and vector quantities. Force

Clasify the following quantities as scalars and vector: potential

Clasify the following quantities as scalars and vector: 20 cm/sec^3

Clasify the following quantities as scalars and vector: 50 m/second

Assertion : Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation. Reason : Displacement can be added to distance.

Classify the following as scalar and vector quantity: intensity