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If A( vec a),B( vec b)a n dC( vec c) are...

If `A( vec a),B( vec b)a n dC( vec c)` are three non-collinear points and origin does not lie in the plane of the points `A ,Ba n dC ,` then point `P( vec p)` in the plane of the ` A B C` such that vector ` vec O P` is `_|_` to planeof ` A B C` , show that ` vec O P=([ vec a vec b vec c]( vec axx vec b+ vec bxx vec c+ vec cxx vec a))/(4^2),w h e r e` is the area of the ` A B Cdot`

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