Given that \(\overrightarrow{AB} = 5i + 3j\) and \(\overrightarrow{AC} = 2i + 5j\), find \(\overrightarrow{BC}\).
FURTHER MATHEMATICS
WAEC 2008
Given that \(\overrightarrow{AB} = 5i + 3j\) and \(\overrightarrow{AC} = 2i + 5j\), find \(\overrightarrow{BC}\).
- A. -7i - 8j
- B. -3i + 2j
- C. 3i - 2j
- D. 3i + 8j
Correct Answer: B. -3i + 2j
Explanation
\(\overrightarrow{BC} = \overrightarrow{BA} + \overrightarrow{AC}\)
\(\overrightarrow{BA} = - \overrightarrow{AB} = -(5i + 3j)\)
= \(-5i - 3j\)
\(\overrightarrow{BC} = (-5i - 3j) + (2i + 5j)\)
= \(-3i + 2j\)
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