Dot Product & Cross Product?

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Cross-product in regards to magnetism and the right hand rule, yes. Dot product... couldn't hurt. Khanacademy.org has a few videos on cross and dot product and how they relate to magnetism.
 
They're very helpful, but not really required. If you're not comfortable with dot and cross products, use these simplified versions:

A "dot" B = |A||B|cosθ
and
A "cross" B = |A||B|sinθ

where θ is the angle between the vectors A and B
 
Knowing dot and cross products can simplify the calculations for a lot of problems. They are useful only when vector are used.
The dot product is the projection of one vector onto another, resulting in a scalar.
The cross product is the product of two vectors, resulting in the production of a third, novel vector.

You might need to use it in EM and Kinetics, because it simplifies force-velocity calculations and allows you to skip messing around with all the various angles and cosines.
 
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