The angle between the vectors a + b & a - b , given | a |=2,| ~b |=1 and angle between a…

Mathematics · JEE Main · NTA ExamsThree Dimensional Geometry

The angle between the vectors \(\overrightarrow{\mathrm{a}}+\overrightarrow{\mathrm{b}}\) & \(\overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}\), given \(|\overrightarrow{\mathrm{a}}|=2,|\overrightarrow{\mathrm{~b}}|=1\) and angle between \(\overrightarrow{\mathrm{a}} \& \overrightarrow{\mathrm{~b}}\) is π/3, is
  1. \(\tan ^{-1} \frac{2}{\sqrt{3}}\)
  2. \(\tan ^{-1} \sqrt{\frac{2}{3}}\)
  3. \(\tan ^{-1} \sqrt{\frac{3}{7}}\)
  4. none

Answer

(A) ^ -1 2 3

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