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Show that the line passing through the p...

Show that the line passing through the points `(a_1,b_1,c_1)` and `(a_2,b_2,c_2)` passes through the origin , if `a_1a_2+b_1b_2+c_1c_2=p_1p_2.` where `p_1` and `p_2` are distances of the points from origin.

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