- #1

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## Homework Statement

The proof seems fairly straight forward, but after plugging in the primitive vectors to the equations for the reciprocal lattice vectors, I'm getting

[tex]2\pi\frac{\frac{a^2}{4}(x+y-z)}{\frac{a}{2}(y+z)\cdot(\frac{a^2}{4}(-x+y+z))}[/tex]

One proof I checked said that the bottom line's

[tex](y+z)\cdot(-x+y+z)=2[/tex]

I don't see how. Any ideas?