If i , j , k are position vectors of A, B, C and AB = CX , then position vector of X is
Mathematics · JEE Main · NTA Exams — Three 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
- \(-\hat{i}+\hat{j}+\hat{k}\)
- \(\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}\)
- \(\hat{i}+\hat{j}-\hat{k}\)
- \(\hat{i}+\hat{j}+\hat{k}\)
Answer
(A) - i + j + k
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