The points A, B, C have position vectors ai, bj, ck respectively, where a, b, c are

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The points A, B, C have position vectors ai, bj, ck respectively, where a, b, c are all positive.

The plane counting A, B, C is denoted ∏.

i. Find a vector perpendicular to ∏.

ii. Find the perpendicular distance from the origin to ∏, in terms of a, b, c.

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