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Let ABC and PQR be any two triangles in ...

Let `ABC and PQR` be any two triangles in the same plane. Assume that the perpendiculars from the points `A, B, C` to the sides `QR, RP, PQ` respectively are concurrent. Using vector methods or otherwise,prove that the perpendiculars from `P, Q, R to BC, CA, AB` respectively are also concurrent.

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