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

Find the vector equation of the Plane Passing through the intersection of the planes barr.(i+j+k)=6 and barr.(2i+3j+4k)=-5 and through the point (1,1,1).

Find the vector equation of the plane passing through the intersection of the palnes vecr.(2hati+2hatj-hat3k) = 7, vecr.(2hati+5hatj+3hatk) = 9 and through the point (2, 1, 3)

Find the equation of the plane passing through the line of intersection of the planes vecr .(hati+hatj+hatk)=1 and vecr.(2 hati+3 hatj-hatk)+4=0 and parallel to x -axis.

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vecr .(hati-hatj+2 hatk)=5 and vecr .(3 hati+hatj+hatk)=6

Find the vector equation of the line passing through (1,2,3) and perpendicular to the plane vecr.(hati+2hatj-5hatk)+9=0

Find the eqation of the plane passing through (a,b,c) and parallel to the plane vecr.(hati+hatj+hatk)=2

Find the equation of the plane which contains the line of intersection of the planes vecr .(hati+2 hatj+3 hatk)-4 =0 , vecr .(2 hati+hatj-hatk)+5=0 and which is perpendicular to the plane vecr .(5 hati+3 hatj-6 hatk)+8=0

Find the vector and cartesian equations of the plane that passes through the point (1, 0, -2) and normal to the plane is hati+hatj-hatk