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

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

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 vector equation of the line passing through (1, 2, 3 ) and parallel to the planes vec rdot( (hat i- hat j+2 hat k)=5\ a n d\ vec rdot((3 hat i+ hat j+ hat k)=6.

Find the equation of plane passing through the point (3,0,-2) and parallel to the planes 3hat i-4hat j and 2hat j+5hat k

Find the equation of the plane passing through (a,b,c) and parallel to the plane vec r*(hat i+hat j+hat k)=2

Find the equation of the plane passing through (a,b,c) and parallel to the plane (a,b,r*(hat i+hat j+hat k)=2