Three Dimensional Geometry
If a line makes angles α,β and γ with the x-axis, y-axis and z-axis respectively then (sin2α +sin2β +sin2γ )=
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are three collinear points, then find the ratio in which point C
Find the equations of the bisectors of the angles between the planes 2x−y+2z+3=0and3x−2y+6z+8=0
and specify the plane which bisects the acute angle and the plane which bisects the obtuse angle.
If Q is the image of the point P(2, 3, 4) under the reflection in the plane x−2y+5z=6, then the equation of the line PQis
Find the equation of the plane passing through the straight line 2x−1=−3y+2=5z
and perpendicular to the plane x−y+z+2=0.
The shortest distance from the plane To the sphere is
The vector a⃗ =αi^+2j^+βk^ lies in the plane of the vectors b⃗ =i^+j^ and c⃗ =j^+k^ and bisects the angle between b⃗ andc⃗ . Then which one of the following gives possible values of a and b?
Find the equation of the plane which is parallel to the lines r=i^+j^+λ(2i^+j^+4k^)and−3x+1=2y−3=1z+2
and is passing through the point (0,1,−1
Show that the lines α−δx−a+d=αy−a=α+δz−a−d