Find the equation of a plane passing through the line of intersection of the planes `vec r.(2i- j+ k)=5` and `vec r.(3i+j-k)=6` and parallel to x axis.

The line of intersection of the planes vec r . (3i-j+k) =1 and vec r . (i+4j-2k) = 2 is parallel to the vector

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 equation of the plane passing through the intersection of the planes vec r.(3i-j+2k)=4 and vec r.(i+j+k)-2=0 and passing through the point (2,2,1) vec r*(3i-j+2k)=4 and vec r*(i+j+k)-2=0

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

Find the equation of the plane passing through the intersection of the planes vec r .(2 hat i+ hat j+3 hat k)=7, vec r.(2 hat i+5 hat j+3 hat k)=9 the point (2,1,3)dot