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Find the vector equation of the plane...

Find the vector equation of the plane passing through the points `(2,\ 1,\ 1)\ a n d\ (1,\ 3,\ 4)` and perpendicular to the plane `x\ -\ 2y+4z=10` . Also show that the plane thus obtained contains the line ` vec r=- hat i+3 hat j+4 hat k+lambda\ (3 hat i-2 hat j-\ 5 hat k)dot`

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