1. Dec 19, 2009

### b00tofuu

suppose v1,....,vk are nonzero vectors with the property that vi.vj=0 whenever i is not equal to j. Prove that {v1,....,vk} is linearly independent.

2. Dec 19, 2009

### rochfor1

Suppose $$\alpha_1, \ldots, \alpha_k$$ are such that $$0 = \alpha_1 v_1 + \ldots + \alpha_k v_k$$. Try taking the dot product of this equation with each of the $$v_i$$s and see what it tells you about the $$\alpha_i$$s.

3. Dec 19, 2009

### b00tofuu

thank u, i got it now...