can i have this question to be put to the experts?thank u
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QUESTION]
The position vectors a,b,c and d {all in vectors} of four points A,B,C and D
on a plane are such that
(a-d).(b-c)=(b-d).(c-a)=0, {all in vectors}
then the pont D is
1]centroid of

ABC
2] ortho centre of

ABC
3]circumcentre of

ABC
4]None of these.
plzz help ,and post a detailed solution plz and i want theoritical proof plzz as it would increase our mind to think better for other problems like these
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THANK YOU