Jal

Computer science graduate student from Cambridge, England. Gaming journalist.

>> Using this as a testbed for some math formatting.

In this case, the cosine between items 1 and 2 is:

${\frac {(1,0,0)\cdot (0,1,1)}{\Vert (1,0,0)\Vert \Vert (0,1,1)\Vert }}=0$,

The cosine between items 1 and 3 is:

${\frac {(1,0,0)\cdot (1,1,0)}{\Vert (1,0,0)\Vert \Vert (1,1,0)\Vert }}={\frac {1}{\sqrt {2}}}$,

Whereas the cosine between items 2 and 3 is:

${\frac {(0,1,1)\cdot (1,1,0)}{\Vert (0,1,1)\Vert \Vert (1,1,0)\Vert }}={\frac {1}{2}}$.