For a non zero vector A if the equations A B = A C and A B = A C hold simultaneously, then

Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry

1. \(\overrightarrow{\mathrm{A}}\) is perpendicular to \(\overrightarrow{\mathrm{B}}-\overrightarrow{\mathrm{C}}\)
2. \(\overrightarrow{\mathrm{A}}=\overrightarrow{\mathrm{B}}\)
3. \(\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{C}}\)
4. \(\overrightarrow{\mathrm{C}}=\overrightarrow{\mathrm{A}}\)

Answer

(C) B = C

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