Notes On Vector Product - CBSE Class 11 Physics
If the product of two vectors, a and b, is a vector, c, then c is called the vector product or cross product of a and b. The magnitude of the vector product is given by |c| = |a| |b| sinθ, where θ = angle between a and b. The direction of c is perpendicular to the directions of both a and b. The direction of a vector product can be determined using the right handed screw rule or the right-hand rule.
 

 
If the two given vectors, a and b, are expressed in terms of unit vectors then their vector product is determined as follows:
 

 
In the above x= 0, etc. and i x= k, etc.

Summary

If the product of two vectors, a and b, is a vector, c, then c is called the vector product or cross product of a and b. The magnitude of the vector product is given by |c| = |a| |b| sinθ, where θ = angle between a and b. The direction of c is perpendicular to the directions of both a and b. The direction of a vector product can be determined using the right handed screw rule or the right-hand rule.
 

 
If the two given vectors, a and b, are expressed in terms of unit vectors then their vector product is determined as follows:
 

 
In the above x= 0, etc. and i x= k, etc.

Videos

References

Previous
Next