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