If a and b are unit vectors, then the greatest value of | a + b |+| a - b | is

Mathematics · JEE Main · NTA ExamsVector Algebra

If \(\scriptstyle{\vec{\mathbf{a}}}\,\mathbf{and}\,{\vec{\mathbf{b}}}\) are unit vectors, then the greatest value of \(|\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}|+|\overrightarrow{\mathbf{a}}-\overrightarrow{\mathbf{b}}|\) is
  1. 2
  2. \(\sqrt{2}\)
  3. \(2 \sqrt{2}\)
  4. 4

Answer

(C) 2 2

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