Let a and b be two equal vectors inclined at an angle θ, then 2 is equal to :

Mathematics · JEE Main · NTA ExamsVector Algebra

Let \(\scriptstyle{\vec{\mathbf{a}}}\,\mathbf{and}\,{\vec{\mathbf{b}}}\) be two equal vectors inclined at an angle θ, then \(\sin \frac{\theta}{2}\) is equal to :
  1. \(\frac{\frac{1}{2}|\overrightarrow{\mathbf{a}}-\overrightarrow{\mathbf{b}}|}{|\overrightarrow{\mathbf{a}}|}\)
  2. \(\frac{\frac{1}{2}|\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}|}{|\overrightarrow{\mathbf{a}}|}\)
  3. \(|\overrightarrow{\mathbf{a}}-\vec{b}|\)
  4. \(|\overrightarrow{\mathbf{a}}+\overrightarrow{\mathbf{b}}|\)

Answer

(A) 1 2 | a - b | | a |

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