dot and cross product

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Eqn 5 and 6 state that:-

b1.a1 = 2pi
b1.a2 = 0
b1.a3 = 0

b2.a1 = 0
b2.a2 = 2pi
...etc

Therefore b1 is perpendicular to both a2 and a3 (assuming that a2 and a3 aren't zero vectors). This means that b1 is in the direction of a2 x a3. Then use "b1.a1 = 2pi" to calculate the magnitude of b1 along this direction.
 
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