MEDIUM
JEE Main/Advance
IMPORTANT
Earn 100

Ifr=i^+2j^+3k^+λi^-j^+k^ and r=i^+2j^+3k^+μi^+j^-k^ are two lines, then find the equation of acute angle bisector of two lines.

Important Questions on Three Dimensional Geometry

HARD
JEE Main/Advance
IMPORTANT
If the edges of a rectangular parallelepiped are a, b, c, then prove that the angles between the four diagonals are given by cos-1a2±b2±c2a2+b2+c2.
HARD
JEE Main/Advance
IMPORTANT
Show that equation of angle bisectors of line r=a+λb and r=b+μa are r=(a+b)+γ(|b|a±|a|b)
HARD
JEE Main/Advance
IMPORTANT
Find equation of plane which passes through 0,1,0,0,0,1,1,2,3.
HARD
JEE Main/Advance
IMPORTANT
Find equation of plane ii Which passes through 0,1,0 and contains two vectors i^+j^-k^ & 2i^-j^.
EASY
JEE Main/Advance
IMPORTANT
Find the locus of the point whose sum of the square of distances from the planes x+y+z=0x-z=0 and x-2y+z=0 is 9.
MEDIUM
JEE Main/Advance
IMPORTANT
The foot of the perpendicular drawn from the origin to the plane is 4,-2,-5 then find the vector equation of plane.
MEDIUM
JEE Main/Advance
IMPORTANT
Let P1,3,5 and Q-2,1,4 be two points from which perpendiculars PM and QN are drawn to the x-z plane. Find the angle that the line MN makes with the plane x+y+z=5.
HARD
JEE Main/Advance
IMPORTANT
The reflection of line x-13=y-24=z-35 about the plane x-2y+z-6=0 is