Module 1 : A Crash Course in Vectors
Lecture 1 : Scalar And Vector Fields
Vector Addition
  Sum of two vectors $\vec A$ and $\vec B$ is a third vector. If
 
\begin{eqnarray*} \vec A &=& (A_x, A_y, A_z)\\ \vec B &=& (B_x, B_y, B_z) \end{eqnarray*}
  then
 
\begin{displaymath}\vec A + \vec B = (A_x+B_x, A_y+B_y, A_z+B_z)\end{displaymath}
  Geometrically, the vector addition is represented by parallelogram law or the triangle law, illustrated below.
 
\includegraphics{fig1.2.eps}
 
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