Class 12

Math

3D Geometry

Three Dimensional Geometry

Find the equation of a plane which is at a distance of $33 $units from origin and the normal to which is equally inclined to the coordinate axes.

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Find the vector and Cartesian equations of a plane which is at a distance of $29 6 $ from the origin and whose normal vector from the origin is $(2i^−3j^ +4k^)$.

Find the acute angle between the following planes.$x+y−z=4$ and $x+2y+z=9$.

Find the equation of the plane passing through the point $(1,−2,7)$ and parallel to the plane $5x+4y−11z=6$.

Find the coordinates of the image of the point $P(1,3,4)$ in the plane $2x−y+z+3=0$.

The equation of the plane passing through the intersection of the planes $3x−y+2z−4=0$ and $x+y+z−2=0$ and passing through the point $A(2,2,1)$ is given by?

The angle between the lines $2x−2 =7y−1 =−3z+3 $ and $−1x+2 =2y−4 =4x−5 $ is

Find the angle between planes $2x+y−2z=5$ and $3x−6y−2z=7$

Find the value of m for which the line $r=(i^+2k^)+λ(2i^−mj^ −3k^)$ is parallel to the plane $r⋅(mi^+3j^ +k^)=4$.