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Friday, 03 July 2026
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If \(\overrightarrow{OA} = 3i + 4j\) and \(\overrightarrow{OB} = 5i - 6j \) where O is ...

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

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