If an electric field is given by 6 hat i+ 3 hat j + 4 hat k, calculate the electric flex through a surface of area 20 units lying in y-z plane?

An electric field vec(E) = (25 hat(i) + 30 hat(j)) NC^(-1) exists in a region of space. If the potential at the origin is taken to be zero then the potential at x = 2m, y = 2m is :

If a + b and a - b are perpendicular and b = 3hat(i) - 4hat(j) + 2hat(k) , then |a| is equal to

A body constrained to move along the Z-axis of a co-ordinate system is subjected to a constant force vec F=(hat i +2hat j + 3 hat k )N . What is the work done by this force in moving the body over a distance of 4m along z-axis ?

If the projection of the vectors vec a on vec b is |vec a times vec b| and if 3 vec b= hat i+ hat j+ hat k then the angle between vec a and vec b is a) pi//3 b) pi//2 c) pi//4 d) pi//6

The two variable vectors 3x hat i+y hat j-3 hat k and x hat i-4 y hat j+4 hat k are orthogonal to each other, then the locus of (x,y) is a)hyperbola b)circle c)straight line d)ellipse