The value of a unit vector in the direction of vector $A = 5\hat i - 12\hat j,$ is

Identify the vector quantity among the following

Let $\theta$ be the angle between vectors $\vec{A}$ and $\vec{B}$. Which of the following figures correctly represents the angle $\theta$ ?

A plane covers $500 \,m$ in direction $60^o$ with run-way while starting the flight. Find the distance covered by plane in horizontal and vertical direction.

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.

What is vector ? How it can be represented ?