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

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)

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

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

Find the equation of the plane passing through the line of intersection of the plane vecr*(2hati+3hatj-4hatk)+1=0 and vecr*(hati-hatj+3hatk) =3 and through the point (1, 1, -1).

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

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

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

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

A unit vector parallel to the intersection of the planes vecr.(hati-hatj+hatk)=5 andvecr.(2hati+hatj-3hatk)=4 is

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