Consider the vector equation of two planes
`barr.(2i+j+k)=3,barr(i-j-k)=4`
Find vector equation of any plane through the intersection of the above two planes.

Consider the vector equation of two planes barr.(2i+j+k)=3,barr.(i-j-k)=4 Find vector equation of the plane through the intersection of the above planes and the point (1,2,-1).

If the vector equation of a line is barr=i+j+k+mu(2i-3j-4k) , then the Cartesian equation of the line is

Consider the planes 3x-4y+5z=10 and 2x+2y-3z=4 a.Write the equation of the planes through the line of intersection of the above planes.

Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the Cartesian equation of the plane.

Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the equation of a plane passing through the point (3,4,-1) and parallel to the given plane .

Let the vector equation of a plane be vecr.(2hati+4hatj+3hatk)=12 (i) Write the cartesian equation of the plane.

Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu(2j-k) Find the equation of the line passing through the point of intersection of lines and perpendicular to both the lines.

Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Find the vector equation of the line passing through A (1,0,2) and parallel to the line.

Consider the line barr=(2i-j+k)+lambda(i+2j+3k) . Find the Cartesian equation of the line.

Consider a plane barr.(6i-3j-2k)+1=0 .Find the equation of a line parallel to the above vector and passing through the point (1,2,1).