If a charged particle of charge q� is travelling with a velocity v� in a magnetic field B,�, then the force that that charged particle feels is given by F=qv×B.�=��×�. In this case, the force F� is also a vector quantity, since it has both a magnitude and a direction. So the cross product plays an important role in physics and engineering. Now suppose that a proton with some positive charge q� is traveling in the xy��-plane with a velocity in the direction of the vector v=⎛⎝⎜3−20⎞⎠⎟�=(3−20) and that the magnetic field B� is a uniform field pointing straight up in the z� direction, perpendicular to the xy��-plane. Then the direction of the force that the moving proton feels is in the direction
If a charged particle of charge q� is travelling with a velocity v� in a magnetic field B,�, then the force that that charged particle feels is given by F=qv×B.�=��×�. In this case, the force F� is also a vector quantity, since it has both a magnitude and a direction. So the cross product plays an important role in physics and engineering. Now suppose that a proton with some positive charge q� is traveling in the xy��-plane with a velocity in the direction of the vector v=⎛⎝⎜3−20⎞⎠⎟�=(3−20) and that the magnetic field B� is a uniform field pointing straight up in the z� direction, perpendicular to the xy��-plane. Then the direction of the force that the moving proton feels is in the direction
If a charged particle of charge q� is travelling with a velocity v� in a magnetic field B,�, then the force that that charged particle feels is given by F=qv×B.�=��×�. In this case, the force F� is also a vector quantity, since it has both a magnitude and a direction. So the cross product plays an important role in physics and engineering. Now suppose that a proton with some positive charge q� is traveling in the xy��-plane with a velocity in the direction of the vector v=⎛⎝⎜3−20⎞⎠⎟�=(3−20) and that the magnetic field B� is a uniform field pointing straight up in the z� direction, perpendicular to the xy��-plane. Then the direction of the force that the moving proton feels is in the direction
If a charged particle of charge q� is travelling with a velocity v� in a magnetic field B,�, then the force that that charged particle feels is given by
F=qv×B.�=��×�.
In this case, the force F� is also a vector quantity, since it has both a magnitude and a direction. So the cross product plays an important role in physics and engineering.
Now suppose that a proton with some positive charge q� is traveling in the xy��-plane with a velocity in the direction of the vector v=⎛⎝⎜3−20⎞⎠⎟�=(3−20) and that the magnetic field B� is a uniform field pointing straight up in the z� direction, perpendicular to the xy��-plane. Then the direction of the force that the moving proton feels is in the direction
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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