Find the equation of the plane which con...

Find the equation of the plane which contains the line of intersection of the planes `x+2y+3z4=0` and `2x+yz+5=0` and whose `x-` intercept is twice its z-intercept. Hence write the vector equation of a plane passing through the point `(2,3,1)` and parallel to the plane obtained above.

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Find the equation of the plane which contains the line of intersection of the planes `x+2y+3z4=0` and `2x+yz+5=0` and whose `x-` intercept is twice its z-intercept. Hence write the vector equation of a plane passing through the point `(2,3,1)` and parallel to the plane obtained above.

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