Three Dimensional Geometry
Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2. If L makes an angles αwith the positive x-axis, then cosα equals
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The distance of point A (-2, 3, 1) from the line PQ through P (- 3, 5, 2), which makes equal angles with the axes is
A ray of light passing through the point A(1,2,3)
, strikews the plane xy+z=12atB
and on reflection passes through point C(3,5,9)˙
Find the coordinate so point B˙
If a plane meets the equations axes at A,BandC
such that the centroid of the triangle is (1,2,4),
then find the equation of the plane.
Find the equation of the plane passing through the points (1,0,−1)and(3,2,2)
and parallel to the line x−1=21−y=3z−2˙
What are the direction cosines of a line which is equally inclined to the positive directions of the axes?
Find the image of the line 9x−1=−1y−2=−3z+3 in the plane 3x−3y+10z−26=0.
The equation of the plane which makes with co-ordinate axes, a triangle with its centroid (α,β,γ)is
What is the angle between the planes2x−y+z=6 andx+y+2z=3?