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Let A bet eh given point whose position ...

Let A bet eh given point whose position vector relative to an origin O be `veca` and `vec(ON)=vecn.` let `vecr` be the position vector of any point P which lies on the plane passing through A and perpendicular to ON.Then for any point P on the plane, `vec(AP).vecn=0` or, `(vecr-veca).vecn=0` or vecr.vecn=veca.vecn` or , vecr.hatn=p` where p ils the perpendicular distance of the plane from origin. The equation of the plane through the point `hati+2hatj-hatk ` and perpendicular to the line of intersection of the planes `vecr.(3hati-hatj+hatk)=1 and vecr.(-hati-4hatj+2hatk)=2` is (A) `vecr.(2hati+7hatj-13hatk)=29` (B) `vecr.(2hati-7hatj-13hatk)=1` (C) `vecr.(2hati-7hatj-13hatk)+25=0` (D) `vecr.(2hati+7hatj+13hatk)=3`

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