Cross & Dot Products in Physics: A Comprehensive Guide

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Can someone help me understand about the cross product and dot product? And how and where can I apply it in physics in solving problems.
 
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There isn't any dot product or cross product there?
 
The simplest way to think of them is that a dot product gives the projection of one vector onto another. It is a scalar quantity, i.e. how much of vector A is in the same direction as vector B?

The cross product gives you a vector that is perpendicular to the original vectors.

Vectors are everywhere. Look in mechanics, electricity and magnetism...look everywhere.