Three Dimensional Geometry
Find the equation of the plane passing through the point (1,4,−2) and parallel to the plane 2x−y+3z+7=0.
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The foot of the perpendicular from the point (1, 6, 3) to the line x1=y−12=z−23 is
Find the radius of the circular section of the sphere ∣r∣=5
by the plane ri^+2j^−k^˙=43˙
What are the direction ratios of the line determined by the planes x−y+2z=1 andx+y−z=3?
Find the length of the perpendicular drawn from the point(5,4,−1)
to the line r=i^+λ(2i^+9j^+5k^),
is a parameter.
The Cartesian equation of a line is 2x−3=−2y+1=5z−3
. Find the vector equation of the line.
Find the image of the point (1,2,3) in the line 3x−6=2y−7=−2z−7.
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
Find the shortest distance between the lines r=(1−λ)i^+(λ−2)j^+(3−2λ)k^andr=(μ+1)i^+(2μ+1)k^˙