The resultant of two vectors $A$ and $B$ makes an angle $\alpha$ with $A$ and $\beta$ with $B$. Which of the following is correct?

$A$ man goes $10\,m$ towards North,then $20\,m$ towards East. The displacement is ........ $m$.

Which of the following is not an illustration of viscosity?

A body cools according to Newton's law of cooling from $100^\circ C$ to $60^\circ C$ in $20$ minutes. The temperature of the surroundings being $20^\circ C$, then the total time required for the body to cool down to $30^\circ C$ is

$A$ vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation,and the angle of rotation about the axis. Does that make any rotation a vector?

Write the distributive law for the product of two vectors.