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NEET UG PHYSICS MCQ: MOTION IN PLANE

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Two vectors A⃗ and B⃗\mathrm{\vec A}\,and\,\mathrm{\vec B} are inclined to each other at an angle θ. Which of the following is the unit vector perpendicular to both A⃗ and B⃗\mathrm{\vec A}\,and\,\mathrm{\vec B} ?
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Correct option: B
A^.B^sinθ\frac{{\hat A.\hat B}}{{\mathrm{sin\theta }}}
Option C (A⃗×B⃗ABsinθ\frac{{\mathrm{\vec A} \times \mathrm{\vec B}}}{{\mathrm{ABsin\theta }}}) is correct because it represents the unit vector in the direction of the cross product of two vectors, which is perpendicular to both.

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