Three Dimensional Geometry
If O be the origin and P(1,2,−3) be a given point, then find the equation of the plane passing through P and perpendicular to OP.
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If the lines 2x−1=3y+1=4z−1and1x−3=2y−k=1z
intersect, then find the value of k˙
Find the image of the point (1,2,3) in the line 3x−6=2y−7=−2z−7.
Find the shortest distance between the z-axis and the line, x+y+2z−3=0,2x+3y+4z−4=0.
is parallel to vector α=−3i^+2j^+4k^
and passes through a point A(7,6,2)
and line L2
is parallel vector β=2i^+j^+3k^
and point B(5,3,4)˙
Now a line L3
parallel to a vector r=2i^−2j^−k^
intersects the lines L1andL2
at points CandD,
respectively, then find ∣∣CD∣∣˙
The equation of the plane which makes with co-ordinate axes, a triangle with its centroid (α,β,γ)is
A plane passes through a fixed point (a, b, c). The locus of the foot of the perpendicular to it from the origin is the sphere
The distance of the point (1, -2, 3) from the plane x−y+z=5 measured parallel to the line x2=y3=z−1−6 is
Find the distance of the point P(a,b,c)
from the x-axis.