A particle projected from origin moves in x-y plane with a velocity `vecv=3hati+6xhatj`, where `hati" and "hatj` are the unit vectors along x and y axis. Find the equation of path followed by the particle :-

hati and hatj are unit vectors along x and y axis. What is the magnitude and direction of the vector hati + hatj ?

3hati and 5hatj are vector along x-axis and y-axis respectively. Find the resultant vector

A particle is moving in a plane with a velocity given by, vecu=u_(0)hati+(omegacosomegat) hatj, are unit vectors along x and y-axes respectively. If the particle is at the origin an t=0, then its distance from the origin at time t=3pi//2omega will be

If hati,hatj and hatk are unit vectors along X,Y & Z axis respectively, then what is the magnitude of hati + hatj + hatk

The position vector of a particle moving in a plane is given by r =a cos omega t hati + b sin omega I hatj, where hati and hatj are the unit vectors along the rectangular axes C and Y : a,b, and omega are constants and t is time. The acceleration of the particle is directed along the vector

A particle moves in plane with acceleration veca = 2hati+2hatj . If vecv=3hati+6hatj , then final velocity of particle at time t=2s is

A charged particle having charge 2q and mass m is projected from origin in X-Y plane with a velocity v inclined at an angle of 45^@ with positive X-axis in a region where a uniform magnetic field B unit exists along +z axis. The coordinates of the centre of the circular path of the particle are

A charged particle having charge 2q and mass m is projected from origin in X-Y plane with a velocity v inclined at an angle of 45^@ with positive X-axis in a region where a uniform magnetic field B unit exists along +z axis. The coordinates of the centre of the circular path of the particle are