Three Dimensional Geometry
Find the equation of a plane which is at a distance of 3 3units from origin and the normal to which is equally inclined to the coordinate axes.
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Find the vector and Cartesian equations of a plane which is at a distance of 296 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.