Find the equation of the plane through the line of intersection of planes `r.(hat i +3hat j)+6=0` and `r.(3 hat i-hat j- 4hat 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 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 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 as well as vector equation of the planes 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 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 intersection of the planes vecr.(hat(i) + 3hat(j)) - 6 = 0 and vecr.(3hat(i) - hat(j) - 4hat(k)) = 0 , whose perpendicular distance from origin is unity.

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.