Two vectors A and B are inclined to each other at an angle θ. Which of the following is…

Physics · JEE Main · NTA ExamsPhysics and Measurement

Two vectors \(\overrightarrow{\mathrm{A}} \text { and } \overrightarrow{\mathrm{B}}\) are inclined to each other at an angle θ. Which of the following is the unit vector perpendicular to both \(\overrightarrow{\mathrm{A}} \text { and } \overrightarrow{\mathrm{B}}\) ?
  1. \(\frac{\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{B}}}{\overrightarrow{\mathrm{~A}} \cdot \overrightarrow{\mathrm{~B}}}\)
  2. \(\frac{\hat{\mathrm{A}} \times \hat{\mathrm{B}}}{\tan \theta}\)
  3. \(\frac{\overrightarrow{\mathrm{A}} \times \overrightarrow{\mathrm{B}}}{\mathrm{AB} \sin \theta}\)
  4. \(\frac{\hat{\mathrm{A}} \times \hat{\mathrm{B}}}{\mathrm{AB} \cos \theta}\)

Answer

(C) A B AB

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