The position vector of points A, B and C is OA=i+mj+2k,OB =-i+2j- OC = 2i +nj+3k where O is origin, m and n are constant. %3D a) Find the value of m and n if BA× BC = 7ị +2 j –3k . %3D b) By using the value of m and n. Calculate angle ABC . c) Find the vector equation of plane that passes through three points.

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A: here we can use polar coordinate by this integration will be very easy.

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