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## Homework Statement

Find a basis for (1, a, a^2) (1, b, b^2) (1, c, c^2)

## Homework Equations

## The Attempt at a Solution

M(1, a, a^2) + N(1, b, b^2) + K(1, c, c^2) = (0, 0, 0)

M + N + K = 0

Ma + Nb + Kc = 0

Ma^2 + Nb^2 + Kc^2 = 0

This is as far as I got. I tried monkeying around with these 3 equations to no avail.

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