If $\overrightarrow A $ is $(3,\, 4)$ unit, then show that the value of its unit vector is $1$.

What is position vector ? What is displacement vector ? Explain equality of vectors.

A boy walks uniformally along the sides of a rectangular park of size $400\, m × 300\, m$, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect

Explain position and displacement vectors. How the magnitude of vector quantity is represented ?

A vector is added to an equal and opposite vector of similar nature, forms a ........

Read each statement below carefully and state with reasons, if it is true or false :

$(a)$ The magnitude of a vector is always a scalar,

$(b)$ each component of a vector is always a scalar,

$(c)$ the total path length is always equal to the magnitude of the displacement vector of a particle.

$(d)$ the average speed of a particle (defined as total path length divided by the time taken to cover the path) is either greater or equal to the magnitude of average velocity of the particle over the same interval of time,

$(e)$ Three vectors not lying in a plane can never add up to give a null vector.