Math Help - Geometric Interpretations..

1. Geometric Interpretations..

can someone give geometric interpretations on this..

$|z_1 + z_2|^2 + |z_1 - z_2|^2 = 2(|z_1|^2+|z_2|^2)$

thanks..

2. Originally Posted by kalagota
can someone give geometric interpretations on this..

$|z_1 + z_2|^2 + |z_1 - z_2|^2 = 2(|z_1|^2+|z_2|^2)$

thanks..
What exactly do you mean by geometric interpretation? Is it something like writing the above equation in the form of a geometrically meaningful statement?

3. Originally Posted by kalagota
can someone give geometric interpretations on this..

$|z_1 + z_2|^2 + |z_1 - z_2|^2 = 2(|z_1|^2+|z_2|^2)$
Geometrically it's an equation which links the sides of a parallelogram to its diagonals : $OC^2+OE^2=2(OA^2+AC^2)=\frac{1}{2}(OD^2+EC^2)$

4. You can find it here.