|( A + B )|^ 2 +|( A - B )|^ 2 equals

Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry

1. \(2\left(|\overrightarrow{\mathrm{~A}}|^{2}+|\overrightarrow{\mathrm{B}}|^{2}\right)\)
2. \(4|\overrightarrow{\mathrm{~A}}| \cdot|\overrightarrow{\mathrm{B}}|\)
3. \(|\overrightarrow{\mathrm{A}}|^{2}+|\overrightarrow{\mathrm{B}}|^{2}\)
4. none of these

Answer

(A) 2 (| ~A |^ 2 +| B |^ 2 )

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