If \(\overrightarrow{OA} = 3i + 4j\) and \(\overrightarrow{OB} = 5i - 6j \) where O
FURTHER MATHEMATICS
WAEC 2010
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: C. 4i - j
Explanation
\(\overrightarrow{OA} = (3, 4)\)
\(\overrightarrow{OB} = (5, -6)\)
\(\overrightarrow{OM} = (\frac{3 + 5}{2}, \frac{4 + (-6)}{2})\)
= \((4, -1) = 4i - j\)
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