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1.
If 
and 
are collinear, then 
divides 
in the ratio
and are collinear, then divides in the ratio
2.
The radius of the circle of 
is
is
3.
Let 
and 
be two points. If a point 
divides 
internally in the ratio 2:3, then the position vector of is
and be two points. If a point divides internally in the ratio 2:3, then the position vector of is
4.
The length of the perpendicular from the origin to the plane passing through the point 
and containing the line 
is
and containing the line is
5.
The line 
meets the plane
in the point
meets the planein the point
6.
If the plane 
is parallel to the line
is parallel to the line
7.
A line AB in three-dimensional space makes angle 
with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle 
with the positive 
then θ equals
with the positive x-axis and the positive y-axis respectively. If AB makes an acute angle with the positive then θ equals
8.
The locus of a point which moves so that the difference of the squares of its distances from two given points is constant, is a
9.
If lines 
and 
are mutually perpendicular, then 
is equal to
and are mutually perpendicular, then is equal to
10.
The equation of the plane passing through a point 
and parallel to the vectors 
and 
is
and parallel to the vectors and is