Given that \(\overrightarrow{AB} = 5i + 3j\) and \(\overrightarrow{AC} = 2i + 5j\), find \(\overrightarrow{BC}\).
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
Correct Answer: Option B
Explanation:
\(\overrightarrow{BC} = \overrightarrow{BA} + \overrightarrow{AC}\)
\(\overrightarrow{BA} = - \overrightarrow{AB} = -(5i + 3j)\)
= \(-5i - 3j\)
\(\overrightarrow{BC} = (-5i - 3j) + (2i + 5j)\)
= \(-3i + 2j\)
\(\overrightarrow{BC} = \overrightarrow{BA} + \overrightarrow{AC}\)
\(\overrightarrow{BA} = - \overrightarrow{AB} = -(5i + 3j)\)
= \(-5i - 3j\)
\(\overrightarrow{BC} = (-5i - 3j) + (2i + 5j)\)
= \(-3i + 2j\)