AB- AB sine, where @ is the angle between the two vectors

University Physics Volume 1
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Chapter2: Vectors
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A cross product between two vectors A and B can be represented as
A B-AB sine, where e is the angle between the two vectors.
Geometrically, the cross product can be imagined as a new vector, the magnitude of which is the area of the parallelogram that vectors A and B form, and the direction of which is the direction that is orthogonal to both A and B. One of many examples of cross products used in physics is the
force that a moving charged particle feeis in a magnetic field. It is expressed as F - qö × B where q is the charge of the particle, i is the particle velocity, and Bis the magnetic field applied.
A student wonders how much force they would feel if they combed their hair with a nylon comb and ran through a constant magnetic field. Assuming the student combed theirhair enough to build upa charge of 1.21×10°C and can run at the speed of 9.19 m/s. Assume B- 0.693T1. The
student is running in the y direction.
Provide the value only, assuming the unit is N and the answer is in the i direction.
Transcribed Image Text:A cross product between two vectors A and B can be represented as A B-AB sine, where e is the angle between the two vectors. Geometrically, the cross product can be imagined as a new vector, the magnitude of which is the area of the parallelogram that vectors A and B form, and the direction of which is the direction that is orthogonal to both A and B. One of many examples of cross products used in physics is the force that a moving charged particle feeis in a magnetic field. It is expressed as F - qö × B where q is the charge of the particle, i is the particle velocity, and Bis the magnetic field applied. A student wonders how much force they would feel if they combed their hair with a nylon comb and ran through a constant magnetic field. Assuming the student combed theirhair enough to build upa charge of 1.21×10°C and can run at the speed of 9.19 m/s. Assume B- 0.693T1. The student is running in the y direction. Provide the value only, assuming the unit is N and the answer is in the i direction.
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