QRS is a triangle such that (overrightarrow{QR} = (3i + 2j)) and (overrightarrow{SR} = (-5i + 3j)), find (overrightarrow{SQ}).
-
A.
8i + j -
B.
2i – j -
C.
-2i – 3j -
D.
-8i – j
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)