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.