Vector Algebra Question 225
Question: Five points given by A, B, C, D, E are in a plane. Three forces $ \overrightarrow{AC},\overrightarrow{AD} $ and $ \overrightarrow{AE} $ act at A and three forces $ \overrightarrow{CB},\overrightarrow{DB},\overrightarrow{EB} $ act at B. Then their resultant is
[AMU 2001]
Options:
A) $ 2\overrightarrow{AC} $
B) $ 3\overrightarrow{AB} $
C) $ 3\overrightarrow{DB} $
D) $ 2\overrightarrow{BC} $
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Answer:
Correct Answer: B
Solution:
- Points A, B, C, D, E are in a plane. Resultant $ =(\overrightarrow{AC}+\overrightarrow{AD}+\overrightarrow{AE})+(\overrightarrow{CB}+\overrightarrow{DB}+\overrightarrow{EB}) $ $ =(\overrightarrow{AC}+\overrightarrow{CB})+(\overrightarrow{AD}+\overrightarrow{DB})+(\overrightarrow{AE}+\overrightarrow{EB}) $ $ =\overrightarrow{AB}+\overrightarrow{AB}+\overrightarrow{AB}=3\overrightarrow{AB} $ .
BETA
