The resultant of two forces, each P, acting at an angle $heta$ is

A body is under the action of two mutually perpendicular forces of 3 N and 4 N. The resultant force acting on the body is

Which of the following is NOT a necessary condition for Lami's theorem to be applicable?

The simple sum of two co-initial vectors is 10 units. Their vector sum is 8 units. The resultant of the vectors is perpendicular to the smaller vector. The magnitudes of the two vectors are

Two vectors ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ are inclined at an angle $heta$. Now if the vectors are interchanged then the resultant turns through an angle $\beta$. Which of the following relation is true

Three coplanar forces $F_1$, $F_2$, and $F_3$ act on a particle, maintaining it in equilibrium. If $F_1$ and $F_2$ have magnitudes of 10 N and 15 N respectively, and the angle between them is $120^\circ$, what is the minimum possible magnitude of $F_3$?

Given, ${\rm{\vec P}} = {\rm{\vec A}} + {\rm{\vec B}}\,\,{\rm{and}}\,P = A + B.$ The angle between ${\rm{\vec A}}\,and\,{\rm{\vec B}}$ is

The wind appears to blow from the north to a man moving in the north-east direction. When he doubles his velocity the wind appears to move in the direction ${\cot ^{ - 1}}\left( 2 \right)$ east of north. The actual direction of the wind is

If the magnitude of the sum of the two vectors is equal to the difference of their magnitudes, then the angle between vectors is

A particle is in equilibrium under the action of three forces $\vec{P}$, $\vec{Q}$, and $\vec{R}$. If the angle between $\vec{P}$ and $\vec{Q}$ is doubled and the magnitude of $\vec{Q}$ is halved, while the other forces remain unchanged, which statement is true for the new equilibrium condition?

The velocity of a body at time t=0 is $10\sqrt 2 \;m/s$ in the north-east direction and it is moving with an acceleration of $2\;m/{s^2}$ directed towards the south. The magnitude and direction of the velocity of the body after 5 sec will be