B M Sharma Solutions for Chapter: Vectors, Exercise 10: CONCEPT APPLICATION EXERCISE 3.2

The maximum and minimum magnitudes of the resultant of two vectors of magnitudes $P$ and $Q$ are in the ratio $3:1$. Which of the following relations is true?

The maximum and minimum magnitude of the resultant of two given vectors are $17$ units and $7$ units, respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is

Which pair of the following forces will never give the resultant force of $2 \mathrm{N}$?

The sum of the magnitudes of two forces acting at a point is $18$ and the magnitude of their resultant is $12$. If the resultant is at ${90}^0$ with the force of smaller magnitude, what are the magnitudes of forces?

At what angle should the two force vectors $2F$ and $\sqrt{2}F$ act so that the resultant force is $\sqrt{10}F$?

Two forces while acting on a particle in opposite directions have the resultant of $10 \mathrm{N}$. If they act at right angles to each other, the resultant is found to be $50 \mathrm{N}$. Find the two forces.

Two forces each equal $\frac{F}{2}$ act at right angle. Their effect may be neutralized by a third force acting along their bisector in the opposite direction. What is the magnitude of the third force?

The resultant of two forces has magnitude $20 \mathrm{N}$. One of the forces is of magnitude $20\sqrt{3} \mathrm{N}$ and makes an angle of $30°$ with the resultant. Then what is the magnitude of the other force?