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Vector Addition

ABC is a tria...

Question

$A B C$ is a triangle and $P$ is any point on $B C$ . If $P Q$ is the resultant of the vectors $\to A P, \to P B$ and $\to P C$ then $A C Q B$ is

Rectangle

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Square

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Rhombus

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Parallelogram

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Solution

The correct option is D Parallelogram
$\to P Q = \to A P + \to P B + \to P C$
$\to P Q - \to P B = \to A P + \to P C$
$\to B Q = \to A C$ --------(1)
$\to P Q - \to P C = \to A P + \to P B$
$\to C Q = \to A B$ ---------(2)
So $A C Q B$ is Parallelogram.

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