The expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.
What is midpoint?
For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.
The M is the midpoint of line segment AB. Thus, it divides the AB in two equal parts.
[tex]AB=MA+MB[/tex]
O is any point on the line segment AB. An expression for OM in terms of OA and OB has to be found out.
The length of OM is the difference of OA and OB as shown in the figure attached below.
[tex]OM=OA-OB[/tex]
Thus, the expression for OM in terms of OA and OB when M is the midpoint of AB, and O is any point, is OM=OA-OB.
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