If $| A |=2$ and $| B |=4$ and angle between them is $60^{\circ}$, then $| A - B |$ is

Which of the following relations is true for two unit vectors $\hat{ A }$ and $\hat{ B }$ making an angle $\theta$ to each other$?$

Given that; $A = B = C$. If $\vec A + \vec B = \vec C,$ then the angle between $\vec A$ and $\vec C$ is $\theta _1$. If $\vec A + \vec B+ \vec C = 0,$ then the angle between $\vec A$ and $\vec C$ is $\theta _2$. What is the relation between $\theta _1$ and $\theta _2$ ?

Match List$- I$ with List$- II.$

$[Image]$

Choose the correct answer from the options given below :

The resultant of two vectors at an angle $150^{\circ}$ is $10$ units and is perpendicular to one vector. The magnitude of the smaller vector is ....... units

Which of the following forces cannot be a resultant of $5\, N$ and $7\, N$ force...........$N$