Scalars And Vectors - Practice Questions & MCQ

1. Scalars

Physical quantities which can be described completely by its magnitude only but no particular direction.

example- Distance, speed, work etc.

Tips for scalars-

• Scalars are always positive.

• Represented by alphabet only A,B,C.

• These physical quantities follow normal algebraic rules of addition.

2.  Vectors

Physical quantities which can be described by its magnitude and direction.

Physical quantities like Displacement ,force, velocity etc. are vectors.

Tips of vectors-

• Vectors can be positive , negative and zero.

• Represented by alphabet having arrow on their head.

•   These physical quantities follows law of vector addition.

•  Types of vectors

1.  Equal vectors-

Two vectors are said  to be equal if they have equal magnitude and same directions.

                      =

         Angle between these two vectors is equal to zero .

2. Negative vectors-

      Two vectors are said  to be negative with respect to each other if they have equal magnitude but opposite directions.

                =

       Angle between negative vectors is equals to 180 .  i.e 

3.  Collinear vectors-

    Two vectors are said  to be collinear if they have common line of action.

a. If two vector are collinear and parallel then the angle between them is zero.

b. If two vector are collinear and anti - parallel then the angle between them is 180⁰.

  So, Angle between collinear vectors A & B is either zero or 180⁰. 

                                                              i.e;   

4. Co-initial vectors-

Two vectors are said  to be Co-initial vectors if they have the same initial point.