Find the distance of the point (2,3,4) from the plane `barr.(3i-6j+2k)=-11` .

Find the distance of point P(3,4,5) from the YZ-plane.

Find the distance of the point (-1,-2,3) from the Plane barr.(2i-3j+4k)=4

Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 hatj+2 hatk)=4

The distance of the point (4, 2, 3) from the plane vecr.(6hati+2hatj-9hatk)=46 is

Find the equation of the line passing through the point (2,1,0) and (3,2,-1) Find the shortest distance of the line from the line barr=(i-j+2k)+lambda(2i+j-3k)

The vector equation of the plane through the point (2,1,-1) and parallel to the plane r.(i+3j-k)=0 is a) r.(i+9j+11k)=6 b) r.(i-9j+11k)=4 c) r.(i+3j-k)=6 d) r.(i+3j-k)=4

Let the vector equation of a plane be vecr.(2hati+4hatj+3hatk)=12 . Find the distance from the point (2,1,3) to the plane

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k . Find the distance between the line and plane barr.(i+5j+k)=5

Find the equation of the plane passing through the points (3,-1,2) , (5,2,4) ,(-1,-1,6) .Find the perpendicular distance from the point (6,5,9) to this plane.

Find the distance between the line barr=i+j+lambda(2i+j+4k) and the plane barr.(-2i+k)=5 .