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When I was studying cross and dot products, I learned that the cross product of two vectors A and B is perpendicular to both A and B. But my mind is unable to understand that. Since both A and B are lying in same plane, how can their cross product be in a different plane?
I also found this concept in circular motion, where the torque is outwards from the plane of paper in which the circle has been formed. When I asked my teacher about that, he told me
This is not an actual direction, this is just a symbolization. The particle doesn't actually feel any force or such in that direction.
If this is so, then a particle should also not feel a force in a uniform magnetic field in which the particle is moving perpendicular to the field, because the force is perpendicular to both the velocity and the magnetic field.
Please help. I am confused here.