If the electric filed is given by `6 hati + 3hat j+ 3 hat k` calculate the electric flux through a surface area 20 units lying in y-z plane.

If bar E = (3 hati +6 hat j+4 hat k)N/C ,calculate the elctric flux through a surface area 20cm^2 in Y-X plane .

A body constrained to move along the z-axis of a coordinate system is subject to a constant force F given by F=-hati+2hatj+3hatk N where hatihatjhatk are unit vectors along the x-, y- and z-axis of the system respectively. What is the work done by this force in moving the body a distance of 4 m along the z-axis?

The position of a particle is given by r=3.0r hati-2.0t^2 hatj+4.0 hatk m Where t is in seconds and the coefficients have the proper units for r to be in metres. What is the magnitude and direction of velocity of the particle at f = 2.0 s?

An electron is moving with a velocity (3hati+3 hatj)ms^(-1) in an electric field 3hat i+6hat j+2hat k and a magnetic field 2hat j+3 hat k . Calculate the magnitude of the force.