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1.
The point of intersection of the lines 
is
is
2.
If the position vectors of the points 
and 
are 
and 
respectively, then the equation of the plane through and perpendicular to 
is
and are and respectively, then the equation of the plane through and perpendicular to is
3.
The point equidistant from the point (
), 
ad (0, 0, 0) is
), ad (0, 0, 0) is
4.
If a plane meets the coordinate axes at 
and 
such that the centroid of the triangle is (1,2,4), then the equation of the plane is
and such that the centroid of the triangle is (1,2,4), then the equation of the plane is
5.
If the coordinates of the vertices of a 
are 
and 
, then 
is equal to
are and , then is equal to
6.
The distance between the line 
and the plane 
is
and the plane is
7.
A point on 
- plane divides the join of 
and 
at
- plane divides the join of and at
8.
A plane makes intercepts 
upon the coordinate axes. Then, the length of the perpendicular from the origin on it is
upon the coordinate axes. Then, the length of the perpendicular from the origin on it is
9.
The equation of the plane counting the lines
10.
The equation of the plane which bisects the line joining (2, 3,4 ) and (6, 7, 8), is