Find the vector equation of the plane passing through three points with position vectors `hat i + hat j − 2 hat k , 2

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Q 2681280127.     Find the vector equation of the plane passing through three points with position vectors `hat i + hat j − 2 hat k , 2 hat i − hat j + hat k ` and `hat i + 2 hat j + hat k`. Also, find the coordinates of the point of intersection of this plane and the line `vec r = 3 hat i − hat j − hat k + λ(2 hat i − 2 hat j + hat k)`.
CBSE-12th 2013

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