WAEC - Further Mathematics (2008 - No. 24)

Given that \(\overrightarrow{AB} = 5i + 3j\) and \(\overrightarrow{AC} = 2i + 5j\), find \(\overrightarrow{BC}\). 
-7i - 8j
-3i + 2j
3i - 2j
3i + 8j

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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