QRS is a triangle such that \(\overrightarrow{QR} = (3i + 2j)\) and \(\overrightarrow{SR} = (-5i + 3j)\), find \(\overrightarrow{SQ}\).
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Correct Answer: Option A
Explanation:
\(\overrightarrow{SQ} = \overrightarrow{SR} + \overrightarrow{RQ}\)
\(\overrightarrow{RQ} = -\overrightarrow{QR} = - (3i + 2j) = -3i - 2j\)
\(\overrightarrow{SQ} = (-5i + 3j) - 3i - 2j = -8i + j\)
\(\overrightarrow{SQ} = \overrightarrow{SR} + \overrightarrow{RQ}\)
\(\overrightarrow{RQ} = -\overrightarrow{QR} = - (3i + 2j) = -3i - 2j\)
\(\overrightarrow{SQ} = (-5i + 3j) - 3i - 2j = -8i + j\)