If (overrightarrow{OA} = 3i + 4j) and (overrightarrow{OB} = 5i – 6j ) where O is the origin and M is the midpoint of AB, find OM.
-
A.
-2i – 10j -
B.
-2i + 2j -
C.
4i – j -
D.
4i + j
Correct Answer: Option C
Explanation
(overrightarrow{OA} = (3, 4))
(overrightarrow{OB} = (5, -6))
(overrightarrow{OM} = (frac{3 + 5}{2}, frac{4 + (-6)}{2}))
= ((4, -1) = 4i – j)