The vector equation of the plane passing through the intersection of the planes r→.i^+j^+k^=1 and r→.i^−2j^=−2 and the point 1,0,2 is

The equation of the plane passing through the line of intersection of two planes   x+y+z=1and x−2y+2=0  is x+y+z−1+λx−2y+2=0          It is passing through the point 1,0,2          Hence, 2+λ3=0=λ=−23          Therefore, the equation of the required plane is x+7y+3z−7=0 , this can be written as    r→⋅i+7j+3k=7