Two equal forces having their resultant equal to either. At what angle are they inclined?

What is the value of \(\hat { i } +m\hat { j } ++\hat { k } \) to be unit vector?

What is the property of two vectors A and B such that A + B = C and A + B = C?

The total path length is always equal to the magnitude of the displacement vector of a particle. Why?

Three vectors not lying in a plane can never end up to give a null vector. Is it true?

A plane is indined at an angle of 30° with horizontal. The magnitude of component of a vector \(\overset\rightarrow{A}\)=-10\(\hat{k} \) perpendicular to this plane is (here z-direction is vertically upwards

At the top of the trajectory of a projectile, the directions of its velocity and accelerations are

A boy aims a gun at a target from a point, at a horizontal distance of 100 m. if the gun can impart a horizontal velocity of 500 ms^-1 to the bullet, the height above the target where he must aim his gun, in order to hit it is (Take g = 10 ms=^-2)

If the resultant of three forces \(\overrightarrow { F } _{ 1 }=p\hat { i } +3\hat { j } -\hat { k } ,\overrightarrow { F } _{ 2 }\)and \(\overrightarrow { F } _{ 3 }=6\hat { i } -\hat { k } \) acting on a particle has a magnitude equal to 5 units, then the value of p is

If \(\overrightarrow { { a }_{ 1 } } \) and \(\overrightarrow { { a }_{ 2 } } \) are two non collinear unit vectors and if \(\left| \overrightarrow { { a }_{ 1 } } +\overrightarrow { { a }_{ 2 } } \right| \) =\(\sqrt{3}\), then the value of \(\left( \overrightarrow { { a }_{ 1 } } -\overrightarrow { { a }_{ 2 } } \right) .\left( 2\overrightarrow { { a }_{ 1 } } +\overrightarrow { { a }_{ 2 } } \right) \) is