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A, B, C and D, are four points in a plane with position vectors a, b, and d respectively such that

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A, B, C and D, are four points in a plane with position vectors a, b,  and d respectively such that vector(a - a).(b - c) = vector(b - d).(c - a) = 0

The point D, then, is the... of the triangle ABC.

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Which clearly represents from figure that D is orthocentre of Δ ABC.

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