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Two vectors $\vec{P}$ and $\vec{Q}$ are inclined to each other at angle $θ$ . Which of the following is the unit vector perpendicular to $\vec{P}$ and $\vec{Q}$ ?

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P→×Q→P⋅Q

P^×Q^sin⁡θ

P→×Q^PQsin⁡θ

P^×Q→PQcos⁡θ

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detailed solution

Correct option is B

P^×Q^,P→×Q^ as well asP^×Q→ all are perpendicular to P→ and Q→. Here only in case (2), the magnitude is equal to 1.

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Two vectors P→ and Q→ are inclined to each other at angle θ. Which of the following is the unit vector perpendicular to P→ and Q→ ?

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Ready to Test Your Skills?

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Two vectors $\vec{P}$ and $\vec{Q}$ are inclined to each other at angle $θ$ . Which of the following is the unit vector perpendicular to $\vec{P}$ and $\vec{Q}$ ?