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## Homework Statement

Unit cell of a crystal lattice is a parallelepiped spanned by the vectors u, v, w vectors have lengths of 1, 2 resp3 (le). angles between the vectors is

[u, v] = pi / 4

[u, w] = pi / 3

[v, w] = pi / 6

Determine the volume of the unit cell.

## Homework Equations

How do you solve this problem?

## The Attempt at a Solution

volume = V (w, u, v) = w scalar with (u x v)

I can determine | uxv | = sqrt (2)

if I can find out the angle between

w and uxv then the problem is solved but it is not possible to get this angle.