If three cars A, B and C move with velocities along directions on that road side, what is the vector hidden in this case.

A particle of charge q moves with velocity vec(v) along positive y - direction in a magnetic field vec(B) . Compute the Lorentz force experienced by the particle (a) when magnetic field is along positive y-direction (b) when magnetic field points in positive z -direction (c ) when magnetic field is in zy - plane and making an angle theta with velocity of the particle. Mark the direction of magnetic force in each case.

Suppose two trains A and B are moving with uniform velocities along parallel tracks but in opposite directions. Let the velocity of train A be 40kmh^(-1) due east and that of train B be 40kmh^(-1) due west. Calculate the relative velocities of the trains.

Three coinitial vectors of magnitudes a, 2a and 3a meet at a point and their directions are along the diagonals if three adjacent faces if a cube. Determined their resultant R. Also prove that the sum of the three vectors determinate by the diagonals of three adjacent faces of a cube passing through the same corner, the vectors being directed from the corner, is twice the vector determined by the diagonal of the cube.

The direction of angular velocity vector is along:

Suppose two cars A and B are moving with uniform velocities with respect to ground along parallel tracks and in the same direction. Let the velocities of A and B be 35kmh^(-1) due east and 40kmh^(-1) due east respectively. What is the relative velocity of car B with respect to A?

Three particles A, B and C are situated at the vertices of an equilateral triangle ABC of side d at time t=0. Each of the particles moves with constant speed v. A always has its velocity along AB, B along BC and C along CA. At what time will the particles meet each other?