Three Dimensional Geometry
Prove that the lines 1x=2y−2=3z+3 and 2x−2=3y−6=4z−3 are coplanar. Also find the equation of the plane containing these lines.
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
If r=(i^+2j^+3k^)+λ(i^−j^+k^) and r=(i^+2j^+3k^)+μ(i^+j^−k^) are two lines, then the equation of acute angle bisector of two lines is
Find the distance of the point P(3,8,2)
from the line 21(x−1)=41(y−3)=31(z−2)
measured parallel to the plane 3x+2y−2z+15=0.
Find the vector equation of the line passing through (1, 2, 3 ) and parallel to the planes →ri^−j^+2k^˙=5 and →r3i^+j^+k^˙=6.
Under what condition are the two linesy=mℓx+α,z=nℓx+β; and y=m′ℓ′x+α′,z=n′ℓ′x+β′ Orthogonal?
Find the equation of a plane containing the line of intersection of the planes x+y+z−6=0and2x+3y+4z+5=0
passing through (1,1,1)
If θ is the acute angle between the diagonals of a cube, then which one of the following is correct?
What is the equation of the plane through z-axis and parallel to the linex−1cosθ=y+2sinθ=z−30?
The direction ratios of the normal to the plane passing through the points (1, -2, 3), (-1, 2, -1) and parallel to x−22=y+13=z4 is