Find the equation of the plane passing through the line of intersection of the plane `vecr.(hati+3 hatj)+6=0 and vecr.(3 hati- hatj-4k)=0` which is at a unit distance from the origin.

Find the equation of the plane passing through line of intersection of the plane vecr.(hat i + 3 hat j) + 6 = 0 andvecr.(3 hati - hat j - 4 hat k) = 0. which is at a unit distance form the origin.

Find the cartesian and vector equations of the planes through the line of intersection of the planes vec r.(2hati+6hatj)+12=0 and vec r.(3hati-hatj+4hatk)=0 which are at a unit distance from the origin.

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

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

Find the equation of the plane though the line of intersection of the planes vecr.(2 hati-3 hatj+ 4 hatk)=1 and vecr.( hati- hatj)+4=0 and prependicular to vecr.(2 hati- hatj+ hatk)+8=0 .

The angle between hati and line of the intersection of the planes vecr.( hati+2 hatj+ 3 hatk)=0 and vecr.(3 hati+3 hatj+ hatk)=0 is __

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

Find the vector equation of the line passing through the point (2,-3,1) and parallel to the planes vec r.(2hati-3hatj-hatk)=3 and vec r.(hati+hatj-hatk)=4 .

Find the equation of the plane which passing through the points hati+ hatj+ hatk and parallel to the plane vecr.(2 hati-hatj+2 hatk)=5

Find the angle between the plane vecr.(2 hati-hatj+2 hat k)=6 and vecr.(3 hati+6 hatj-2 hatk) =9