4.4 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

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Vishal Baghel | Contributor-Level 10

5 months ago

4.4

(a) The addition of two scalar quantities is meaningful – if they both represent the same physical quantity.

(b) The addition of a vector quantity with a scalar quantity is not meaningful.

(c) Multiplying a scalar with a vector is meaningful.

(d) The multiplication of two scalar quantities is meaningful.

(e) The addition of two vectors is meaningful.

(f) Adding a component of a vector to the same vector is meaningful.

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