The magnetic flux linked with the loop of a wire of area vector `(30 hat i + 16 hat j + 23 hat k) cm^(2)` is `5 mu` Wb. Calculate the magnetic field acting at right angle to the plane of the loop of the wire.

Find the angle between the vectors hat i-2hat j+3hat k and 3hat i-2hat j+hat k

If electron velocity is (2 hat(i) + 3 hat(j)) and it is subjected to a magnetic field 4 K then

Two vector forces (2hat i+hat j+3hat k) and (3hat i+hat j-hat k) are acted on a particle.Find the angle between the resultant force to the XY- plane.

A charged particle with charge to mass ratio ((q)/(m)) = (10)^(3)/(19) Ckg^(-1) enters a uniform magnetic field vec(B) = 20 hat(i) + 30 hat(j) + 50 hat(k) T at time t = 0 with velocity vec(V) = (20 hat(i) + 50 hat(j) + 30 hat(k)) m//s . Assume that magnetic field exists in large space. During the further motion of the particle in the magnetic field, the angle between the magnetic field and velocity of the particle

Show that the vectors vec a=3 hat i-2 hat j+ hat k , vec b=3 hat j+5 hat k , vec c=2 hat i+ hat j-4 hat k from a right angled triangle.

Determine the sine of the angle between the vectors . 2 hat I + 3 hat j -4 hat k and ( hat i-2 hat k).

A force (hat(i)-2hat(j)+3hat(k)) acts on a particle of position vector (3hat(i)+2hat(j)+hat(k)) . Calculate the torque acting on the particle.

The electric field in a certain region of space is (5 hat(i) + 4 hat(j) - hat(k)) xx 10^(5) N//C . Calculate electric flux due to this field over an area of (2 hat(i) - hat(j)) xx 10^(-2) m^(2) .