Find the cartesian as well as vector equation of the planes through the intersection of the planes `vec r*(2 hat i+6 hat j)+12=0` and `vec r*(3 hat i-hat j+4 hat k)=0`, which are at unit distance from the origin.

Find the cartesian as well as vector equations of plane through the intersection of the planes vec r*(2hat i+6hat j)+12=0 and vec r*(3hat i-hat j+4hat k)=0 which are at a unit distance from the origin.

Find the Cartesian as well as vector equations of the planes through the intersection of the planes vec rdot((2 hat i+6 hat j)+12=0\ a n d\ vec rdot((3 hat i- hat j-4 hat k)=0 which are at a unit distance from the origin.

Find the Cartesian as well as vector equations of the planes through the intersection of the planes vec rdot((2 hat i+6 hat j)+12=0\ a n d\ vec rdot((3 hat i- hat j-4 hat k)=0 which are at a unit distance from the origin.

Find the cartesian and vector equations of the planes passing through the intersection of te planes vec(r)*(2hat(i)+6hat(j))+12=0 and vec(r)*(3hat(i)-hat(j)-4hat(k))=0 which are at a unit distance from the origin.

Find the equation of the plane through the line of intersection of the planes vec rdot(( hat i+3 hat j)+6=0\ a n d\ vec rdot((3 hat i- hat j-4 hat k)=0, which is at a unit distance from the origin.

Find the equation of the plane through the line of intersection of the planes vec rdot(( hat i+3 hat j)+6=0\ a n d\ vec rdot((3 hat i- hat j-4 hat k)=0, which is at a unit distance from the origin.

Find the equation of the plane through the line of intersection of planes r.(hat i+3hat j)+6=0 and r.(3hat i-hat j-4hat k)=0 which is at a unit distance from the origin

Find the vector equation of the plane passing through the intersection of the planes vec r*(hat i+hat j+hat k)=6 and vec r*(2hat i+3hat j+4hat k)=-5 and the point (1,1,1) .

Find the Cartesian equation of the plane, passing through the line of intersection of the planes: vec r*(2hat i+3hat j-4hat k)+5=0 and vec r*(hat i-5hat j+7hat k)+2=0 and intersecting y-axis at (0,3)

Find the equation of the plane passing through the line of intersection of the planes vec r*(hat i+hat j+hat k)=1 and vec r*(2hat i+3hat j-hat k)+4=0 and parallel to x-axis.