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1.
If direction cosines of two lines are proportional to 
and 
, then the acute angle between them is
and , then the acute angle between them is
2.
The distance of the point 
from the line which passes through the point 
and parallel to the vector 
is
from the line which passes through the point and parallel to the vector is
3.
The angle between the lines 
and 
is
and is
4.
The equation of the plane containing the line 
is 
, where
is , where
5.
If the lines 
and 
are perpendicular, then the value of α is
and are perpendicular, then the value of α is
6.
The perpendicular distance of the point (6, 5, 8) from 
-axis is
-axis is
7.
The vectors of magnitude 
meet at a point and their directions are along the diagonals of three adjacent faces of a cube. Then, the magnitude of their resultant is
meet at a point and their directions are along the diagonals of three adjacent faces of a cube. Then, the magnitude of their resultant is
8.
Cartesian form of the equation of line 
is
is
9.
The equation of the plane containing the lines 
and 
, is
and , is
10.
The points 
are
are