Vector Algebra Question 60
Question: P is a point on the side BC of the $ \Delta ,ABC $ and Q is a point such that $ \overrightarrow{PQ} $ is the resultant of $ \overrightarrow{AP},,\overrightarrow{PB},,\overrightarrow{PC}. $ Then ABQC is a
Options:
A) Square
B) Rectangle
C) Parallelogram
D) Trapezium
Show Answer
Answer:
Correct Answer: C
Solution:
- $ \overrightarrow{AP}+\overrightarrow{PB}+\overrightarrow{PC}=\overrightarrow{PQ} $ or $ \overrightarrow{AP}+\overrightarrow{PB}=\overrightarrow{PQ}+\overrightarrow{CP} $ or $ \overrightarrow{AB}=\overrightarrow{CQ} $ . Hence it is a parallelogram.