# Complex Cross Product/Examples/Size of 3-i cross 2+5i

## Example of Complex Cross Product

Let:

$z_1 = 3 - i$
$z_2 = 2 + 5 i$

Then:

$\size {z_1 \times z_2} = 17$

where:

$\circ$ denotes (complex) cross product
$\size {\, \cdot \,}$ denotes the absolute value function.

## Proof

 $\displaystyle z_1 \times z_2$ $=$ $\displaystyle 17$ Complex Cross Product: $3 - i \times 2 + 5 i$ $\displaystyle \leadsto \ \$ $\displaystyle \size {z_1 \times z_2}$ $=$ $\displaystyle \size {17}$ $\displaystyle$ $=$ $\displaystyle 17$

$\blacksquare$