If i , j , k are position vectors of A, B, C and AB = CX , then position vector of X is

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

If \(\hat{\mathrm{i}}, \hat{\mathrm{j}}, \hat{\mathrm{k}}\) are position vectors of A, B, C and \(\overrightarrow{\mathrm{AB}}=\overrightarrow{\mathrm{CX}}\), then position vector of X is
  1. \(-\hat{i}+\hat{j}+\hat{k}\)
  2. \(\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}\)
  3. \(\hat{i}+\hat{j}-\hat{k}\)
  4. \(\hat{i}+\hat{j}+\hat{k}\)

Answer

(A) - i + j + k

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