$A$ physical quantity which has a direction:

A body cools from $100^\circ C$ to $60^\circ C$ in $20$ minutes, the temperature of the surroundings being $20^\circ C$. The total time taken (in minutes) for the body to cool down to $40^\circ C$ is ...

$\vec{A}$ and $\vec{B}$ are two non-zero vectors inclined at an angle $\theta$. $\hat{a}$ and $\hat{b}$ are unit vectors along $\vec{A}$ and $\vec{B}$ respectively. The component of $\vec{A}$ in the direction of $\vec{B}$ is

Explain the null vector. Explain the physical significance of the null vector.

The vector $\overrightarrow{OA}$ where $O$ is the origin is given by $\overrightarrow{OA} = 2\hat{i} + 2\hat{j}$. If it is rotated by $45^{\circ}$ in the anticlockwise direction about $O$,what will be the new vector?

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