Let 
and 
. Consider three points 
, 
and 
having position vectors 
and 
respectively. Among these, the points in the line segment passing through 
and 
are
and 
Text Solution
Verified by ExpertsA
Given vectors 
and 
.
Now, equation of line segment passes through the point 
and 
is
…..(i)
Now, the point vectors having position vectors 
and 
are given.
The point 
, by putting in line (i)
Point 
satisfied the line, so it is on the line segment (i)
Let point 
, by putting in line (i)
Point 
also satisfied the line (i), so it lies on the line segment.
Now, the point 
, on putting in the equation of line (i) 
Point 
not satisfied the line (i), so it doesn't line on the line segment.
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