WAEC - Further Mathematics (2012 - No. 7)
QRS is a triangle such that \(\overrightarrow{QR} = (3i + 2j)\) and \(\overrightarrow{SR} = (-5i + 3j)\), find \(\overrightarrow{SQ}\).
8i + j
2i - j
-2i - 3j
-8i - j
설명
\(\overrightarrow{SQ} = \overrightarrow{SR} + \overrightarrow{RQ}\)
\(\overrightarrow{RQ} = -\overrightarrow{QR} = - (3i + 2j) = -3i - 2j\)
\(\overrightarrow{SQ} = (-5i + 3j) - 3i - 2j = -8i + j\)