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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Vector Algebra

NDA 2012 · Mathematics · Vector Algebra

Let O be the origin and P, Q, R be the points such that PO + OQ =...

Let OO be the origin and P,Q,RP, Q, R be the points such that PO→+OQ→=QO→+OR→\overrightarrow{\mathrm{PO}}+\overrightarrow{\mathrm{OQ}}=\overrightarrow{\mathrm{QO}}+\overrightarrow{\mathrm{OR}}. Then which one of the following is correct?

Options

  1. AP, Q, R are the vertices of an equilateral triangle
  2. BP,Q,R\mathrm{P}, \mathrm{Q}, \mathrm{R} are the vertices of an isosceles triangle
  3. CP,Q,R\mathrm{P}, \mathrm{Q}, \mathrm{R} are collinear
  4. DNone of the above

Correct answer

A. P, Q, R are the vertices of an equilateral triangle

Step-by-step solution

The correct answer is option A.
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