ABCis any fixed triangle and P being any point on the side BC, If Q is a point such that PQ¯=AP¯+PB¯+PC¯ then which of the following is true

PQ¯=AP¯+PB¯+PC¯⇒PQ¯−PC¯=AP¯+PB¯⇒CQ¯=AB¯⇒AB¯=CQ¯ ABQC, is a parallelogram

ABCis any fixed triangle and P being any point on the side BC, If Q is a point such that PQ¯=AP¯+PB¯+PC¯ then which of the following is true

PQ¯=AP¯+PB¯+PC¯⇒PQ¯−PC¯=AP¯+PB¯⇒CQ¯=AB¯⇒AB¯=CQ¯ ABQC, is a parallelogram

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$ABC$ is any fixed triangle and P being any point on the side BC, If Q is a point such that $\bar{PQ} = \bar{AP} + \bar{PB} + \bar{PC}$ then which of the following is true

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A Q ¯ = A B ¯ + B C ¯ + A C ¯

Q is fixed for all position of P on BC

Position of Q depends on the position of P

A Q ¯ = A B ¯ + A C ¯ − B C ¯

answer is B.

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$\begin{array}{l} \bar{PQ} = \bar{AP} + \bar{PB} + \bar{PC} \\ \Rightarrow \bar{PQ} - \bar{PC} = \bar{AP} + \bar{PB} \\ \Rightarrow \bar{CQ} = \bar{AB} \\ \Rightarrow \bar{AB} = \bar{CQ} \end{array}$
ABQC, is a parallelogram

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ABCis any fixed triangle and P being any point on the side BC, If Q is a point such that PQ¯=AP¯+PB¯+PC¯ then which of the following is true

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$ABC$ is any fixed triangle and P being any point on the side BC, If Q is a point such that $\bar{PQ} = \bar{AP} + \bar{PB} + \bar{PC}$ then which of the following is true