Home
Class 12
MATHS
Let L(1):(x-2)/(2)=(y-3)/(-1)=(z-1)/(3),...

Let `L_(1):(x-2)/(2)=(y-3)/(-1)=(z-1)/(3),L_(2):(x-2)/(-1)=(y-3)/(3)=(z-1)/(5/3)` and `L_(3):(x-2)/(-32)=(y-3)/(-19)=(z-1)/(15)` are three lines intersecting each other at the point `P` and a given plane at `A,B,C` respectively, such that `PA=2,PB=3,PC=6.` The volume ( in cubic units) of the tetrahedron `PABC` is

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the lines (x-1)/(3)=(y+1)/(2)=(z-1)/(5) " and " (x-2)/(2)=(y-1)/(3)=(z+1)/(-2) do not intersect each other .

The lines x/1=y/2=z/3 and (x-1)/(-2)=(y-2)/(-4)=(z-3)/(-6) are

The shortest distance between lines L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2) , L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) is

Line (x-2)/(-2) = (y+1)/(-3) = (z-5)/1 intersects the plane 3x+4y+z = 3 in the point

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

Consider the line L_(1):(x+1)/(3)=(y+2)/(1)=(z+1)/(2),L_(2):(x-2)/(1)=(y+2)/(2)=(z-3)/(3) The shortest distance between L_(1) and L_(2) is

Show that the lines : (x + 1)/(3) = (y + 3)/(5) = (z + 5)/(7) and " " (x -2)/(1) = (y - 4)/(3) = (z -6)/(5) intersect each other. Also, find the their point of intersection.

Consider the lines, L_(1):x/2=y/(-3)=z/1 and L_(3):(x-2)/3=(y-1)/(-5)=(z+2)/2 , then the line along shortest distance can be, costituted by the line of intersection of planes

" The point of intersection of lines "(x-1)/(2)=(y-2)/(3)=(z-3)/(4)" and "(x-4)/(5)=(y-1)/(2)=(z)/(1)" is "