Which of the following is the unit vector perpendicular to A and B -A- -B-A B sin-B- A- B-A B sin-D- A-B-A B cos-

The correct option is B A×BAB sinθCross product of two vector is , nbsp; nbsp; A×B = AB sinθ n̂ nbsp; Unit vector perpendicular to nbsp;A and B n̂ = A×BAB ...

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Byju's Answer

Standard XII

Physics

Multiplication with Vectors

Which of the ...

Question

Which of the following is the unit vector perpendicular to $\to A and \to B$ ?

\frac{^A \times^B}{A B sin θ}

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\frac{^A \times^B}{A B cos 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 $\frac{\to A \times \to B}{A B sin θ}$
Cross product of two vector is ,
$\to A \times \to B = A B sin θ^n$
Unit vector perpendicular to $\to A and \to B$
$^n = \frac{\to A \times \to B}{A B sin θ}$

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Similar questions

Q. Which of the following is the unit vector perpendicular to

\to A and \to B

Which of the following is the unit vector perpendicular to $\to A$ and $\to B$ ?

Q. Given that

\to a =^i -^j

and

\to b =^i + 2^j

find a unit vector co-planar with

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and

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and perpendicular to

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Q. For any two vectors

^a

and

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prove that
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| \to a + \to b | \leq | \to a | + | \to b |

(b)

| \to a - \to b | \leq | \to a | + | \to b |

Q. Arrange the value of

| a + b + c |

in ascending order

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.If

^a,^b,^c

are mutually perpendicular unit vectors

B

. If

^a,^b,^c

are vectors of lengths 2,3,4 respectively and

^a,^b,^c

are perpendicular to

^b +^c,^c +^a,^a +^b

respectively.

C

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Which of the following is the unit vector perpendicular to →A and →B?

The correct option is C →A×→BABsinθCross product of two vector is , →A×→B=ABsinθ ^n Unit vector perpendicular to →A and →B ^n=→A×→BABsinθ

Which of the following is the unit vector perpendicular to $\to A and \to B$ ?

The correct option is C $\frac{\to A \times \to B}{A B sin θ}$
Cross product of two vector is ,
$\to A \times \to B = A B sin θ^n$
Unit vector perpendicular to $\to A and \to B$
$^n = \frac{\to A \times \to B}{A B sin θ}$