Two type of numbers - Vector and scalar.

Vectors And Scalars

Is it possible that the sum of two vectors is a scalar ?

Is scalar multiplied by a vector, a vector or a scalar?

What is difference between multiplying a vector by a real number and a scalar ?

Explain multiplication of a vector by (i) a real number (ii) by a scalar.

Define scalar product of two vectors . Show of two vectors . Show that scalar product of vectors satisfies the commutative and distributive laws.

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