_{1}and W

_{2 }of an inner product space V, we have

a) (W

_{1}+ W

_{2})^⊥ = W

_{1}^⊥ ∩ W

_{2}^⊥ and

b) (W

_{1}∩ W

_{2})^⊥ = W

_{1}^⊥ + W

_{2}^⊥

Hint: The second follows from the first- you may use the fact that (W^⊥)^⊥ = W.

Any help would be greatly appreciated!