Module 1 : A Crash Course in Vectors
Lecture 1 : Scalar And Vector Fields
Two vectors are parallel if their cross product is zero.
Vector product is distributive
 
\begin{displaymath}\vec A\times(\vec B + \vec C)= \vec A\times \vec B +\vec A\times \vec C\end{displaymath}
The cross product of cartesian basis vectors are as follows
 
\begin{eqnarray*} \hat\imath\times\hat\jmath &=&\hat k\\ \hat\jmath\times\hat k&=& \hat\imath \\ \hat k\times\hat\imath&=&\hat\jmath \end{eqnarray*}
  and
 
\begin{displaymath}\hat\imath\times\hat\imath =\hat\jmath\times\hat\jmath =\hat k\times\hat k = 0\end{displaymath}
  Exercise 2
  Exercise 3
   
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