Let 
and 
be three non-coplanar vectors. The vector equation of a line which passes through the point of intersection of two lines, one joining the points 
and the other joining the points 
, 
is
Text Solution
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Given, 
and 
be three non-coplanar vectors. Equation of line joining the points,
Similarly, equation of the line joining the points
Now, for point of intersection of lines 
and 
,
On comparing, we get
and 
From Eqs. (iii), (iv) and (v)
and 
So, the intersection point is 
and for 
the line 
passes through point 
only.
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