If O(0) ) is the circumcentre and O' the orthocentre of a triangle ABC – InterviewSolution

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1.	If O(0) ) is the circumcentre and O' the orthocentre of a triangle ABC, then prove that i. OA + OB + OC = 00'ii. O A+O'B + OC=20'0ii. AO' + O'B+O'C =2 AO = APwhere AP is the diameter through A of the circumcircle. This is a question of vectors and I need urgent detailed solution...
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