The position vector of the vertices of triangle ABC are i , j and k then the position…

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

The position vector of the vertices of triangle ABC are
\(\hat{\mathrm{i}}, \hat{\mathrm{j}} \text { and } \hat{\mathrm{k}}\) then the position vector of its orthocentre is
  1. \(\hat{i}+\hat{j}+\hat{k}\)
  2. \(2(\hat{i}+\hat{j}+\hat{k})\)
  3. \(\frac{1}{3}(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})\)
  4. \(\frac{1}{\sqrt{3}}(\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}})\)

Answer

(C) 1 3 ( i + j + k )

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