Applet 7.3 Distribution law of Inner Product 
The Distribution law of inner product states that :
<u + v, w> =
<u, w> + <v, w>
Refer the figure on right Let u = , v = , and w = So, u + v = Referring the figure on the right, we observe that <u + v, w> = Area of rectangle OPHC' <u, w> = Area of rectangle OEDC' <v, w> = Area of rectangle OFGC' Now as area of OPHC' = area of OEDC' + area of OFGC' (which can be checked with the help of the applet below using the Check button) <u + v, w> = <u, w> + <v, w> 

Instructions for using the Applet

: 