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Find the equation of the plane through t...

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.

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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 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 equation of the plane passing through the intersection of the planes vec rdot( (hat i+ hat j+ hat k)=1\ a n d\ vec rdot((2 hat i+3 hat j- hat k)+4=0 and parallel to x-axis.

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 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 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.

Find the angle between the plane: vec rdot((2 hat i+3 hat j-6 hat k)=5\ a n d\ vec rdot(( hat i-2 hat j+2 hat k)=9.

Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6\ a n d\ vec rdot((3 hat i+6 hat j-2 hat k)=9.

Find the equation of the plane which contains the line of intersection of the planes vec r*(hat i+2hat j+3hat k)-4=0,vec r*(2hat i+hat j-hat k)+5=0 and which is perpendicular to the plane

Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=1\ a n d\ vec rdot((- hat i+ hat j)=4 .