CBSE Class 12-science Maths Three Dimensional Geometry
- Find the angle between two lines whose directions cosines are given by l+m+n=0 and l^2+m^2-n^2=0.[**WITHOUT USING THEOREMS OF VECTOR**]
- Find the shortest distance whose equations are r = (i-j) + lambda(2i+k) and r= (2i-j) + mu(i+j-k)
-
Let
be the direction ratios of two lines and 
be the angle between them. Then find the angle between them in the form of direction ratios. Also find the condition that the lines are perpendicular.
-
Find the angle between the pair of lines given by
and 
.
-
Find the angle between the lines
and 
-
Show that the lines
and 
are perpendicular.
- Show that the line segment joining the points (– 1, 2, – 3) and (1, 4, 1) is parallel to the line segment joining the points (1, 2, 3) and (2, 3, 5).
-
Find the distance between the lines
and 
.
-
Find the shortest distance between the lines:
and 
.
-
Find the shortest distance between the lines:
and 
.
