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Find the vector equation of the plane passing through three points with position vectors (i + j - 2k), (2i - j + k) and ( i + 2j + k). Also find the co-ordinates of the point of intersection of this plane and the line vector r = (3i - j - k) + λ(2i - 2j + k).

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Let A, B, C be the points with position vectors

So, vector equation of the required plane is :

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