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A triangle has vertices Ai(xi , yi)fori=...

A triangle has vertices `A_i(x_i , y_i)fori=1,2,3` If the orthocentre of triangle is `(0,0),` then prove that
`|x_2-x_3 y_2-y_3 y_1(y_2-y_3)+x_1(x_2-x_3)`
`x_3-x_1y_2-y_3y_2(y_3-y_1)+x_1(x_3-x_1)`
`x_1-x_2y_2-y_3y_3(y_1-y_2)+x_1(x_1-x_2)|=0`

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