Two vectors A- and B- are inclined to each other at an angle - then which of the following is the unit vector perpendicular to both A- and B-

The correct option is C A⃗×B⃗/ABsinθ Weknow that vector product of two vectors A⃗ and B⃗ is given by: #160; #160; A⃗×B⃗=ABsinθn̂ wher ...

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Byju's Answer

Standard XII

Physics

Multiplication with Vectors

Two vectors ...

Question

Two vectors $\to A$ and $\to B$ are inclined to each other at an angle $θ$ , then which of the following is the unit vector perpendicular to both $\to A$ and $\to B$

\frac{\to A \times \to B}{\to A . \to B}

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\frac{\to A \times \to B}{sin θ}

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\frac{\to A \times \to B}{A B sin θ}

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\frac{\to A \times \to B}{A B cos θ}

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Solution

The correct option is C $\frac{\to A \times \to B}{A B sin θ}$
Weknow that vector product of two vectors $\to A$ and $\to B$ is given by:
$\to A \times \to B = A B sin θ^n$
where $^n$ is a unit vector in the direction perpendicular to both $\to A$ and $\to B$
therefore, $^n$ = $\frac{\to A \times \to B}{A B sin θ}$

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Two vectors →A and →B are inclined to each other at an angle θ, then which of the following is the unit vector perpendicular to both →A and →B

The correct option is C →A×→BABsinθWeknow that vector product of two vectors →A and →B is given by: →A×→B=ABsinθ^nwhere ^n is a unit vector in the direction perpendicular to both →A and →Btherefore, ^n=→A×→BABsinθ

Two vectors $\to A$ and $\to B$ are inclined to each other at an angle $θ$ , then which of the following is the unit vector perpendicular to both $\to A$ and $\to B$