Problems on equation of plane passing through intersection of two planes

Find the vector equation of a plane passing through the intersection of the planes vecr.(hati+hatj+hatk) = 6 and vecr. (2hati+3hatj+4hatk) - 5 = 0 and through the point (2,2,1) .

Find the vector equation of a plane passing through the intersection of the planes vecr.(hati+hatj+hatk) = 6 and vecr. (2hati+3hatj+4hatk) - 5 = 0 and through the point (2,2,1) .

Find the vector equation of the plane passing through the intersection of the two planes vecr(hati+hatj+hatk)=6 and vecr(2hati+3hatj+4hatk)=-5 and through the point (1,1,1)

The vector equation of the plane passing through the intersection of the planes barr.(hati-hatj+2hatk)=3" and "barr.(3hati-hatj-hatk)=4 is

The equation of the plane passing through the intersection of the planes x+2y-z = 3 and x + y - 3z = 5 and passing through the point (1,-1,0) is

Find the equation of a plane passing through the intersection of the planes x-3y+2z-5 - 0 and 2x-y+3z-1 = 0 and passes through the point (1,-2,3) .

Find the equation of a plane passing through the intersection of the planes vecr . (hati+3hatj-hatk) = 5 and vecr.(2hati-hatj+hatk) = 3 and passes through the point (2,1,-2) .

Find the equation of a plane passing through the intersection of the planes vecr . (hati+3hatj-hatk) = 5 and vecr.(2hati-hatj+hatk) = 3 and passes through the point (2,1,-2) .

Find the equation of a plane passing through the intersection of the planes x-3y+2z-5 - 0 and 2x+y+3z-1 = 0 and passes through the point (1,-2,3) .

Find the equation of the plane passing through the intersection of the planes 2x - 3y + z-4 = O and x-y + 2 + 1 = 0 and perpendicular to the plane x + 2y - 3z + 6 = 0.