JEE Exam > JEE Videos > Physics for JEE Main & Advanced > Cross Product of 2 Vectors
Cross Product of 2 Vectors Video Lecture | Physics for JEE Main & Advanced
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FAQs on Cross Product of 2 Vectors Video Lecture - Physics for JEE Main & Advanced
| 1. What is the definition of the cross product of two vectors? |  |
Ans. The cross product of two vectors, denoted by A x B, is a vector that is perpendicular to both A and B and has a magnitude equal to the product of the magnitudes of A and B multiplied by the sine of the angle between them.
| 2. How is the direction of the cross product determined? | |
Ans. The direction of the cross product is determined by the right-hand rule. If you curl the fingers of your right hand from vector A to vector B, then your thumb will point in the direction of the cross product vector.
| 3. What is the geometric interpretation of the cross product? | |
Ans. Geometrically, the cross product of two vectors represents the area of the parallelogram formed by those vectors. The magnitude of the cross product is equal to the area of the parallelogram, and its direction is perpendicular to the plane of the parallelogram.
| 4. How can the cross product be used in physics and engineering? | |
Ans. The cross product has various applications in physics and engineering. It is used to calculate torque, which is the rotational force acting on an object. It is also used in electromagnetism to determine the magnetic field generated by a current-carrying wire.
| 5. Can the cross product be used with vectors in a three-dimensional space? | |
Ans. Yes, the cross product can be used with vectors in three-dimensional space. The resulting cross product vector will be orthogonal to both the original vectors and will have a direction determined by the right-hand rule. The magnitude of the cross product is equal to the product of the magnitudes of the original vectors multiplied by the sine of the angle between them.
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