If the points P and Q are respectively the circumcenter and the orthocentre of a A B C , then P A + P B + P C is [2023]

Question

If the points P and Q are respectively the circumcenter and the orthocentre of a $∆ A B C$ , then $\vec{P A} + \vec{P B} + \vec{P C}$ is [2023]

Smart Achievers · Accepted Answer

(4)

$\vec{P A} + \vec{P B} + \vec{P C} = \vec{a} + \vec{b} + \vec{c}$

$= \frac{3 (\vec{a} + \vec{b} + \vec{c})}{3}$

$= 3 \vec{P G} = \vec{P Q}$

Want Us to Email you About Special Offers & Updates?