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

The correct option is C A×BAB sinθ nbsp;Vector perpendicular to A and B can be given as A×B = AB sinθ n̂ nbsp; ∴ Unit vector perpendicular to A and B is ...

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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 $\frac{\to A \times \to B}{A B sin θ}$
The vector product of $\to A$ and $\to B$ is given as
$\to A \times \to B = A B sin θ^n$
where $^n$ is the unit vector perpendicular to $\to A$ and $\to B$ .
∴ Unit vector perpendicular to $\to A$ and $\to B$ is given by $^n = \frac{\to A \times \to B}{A B sin θ}$

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Similar questions

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

\to A and \to B

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

\to A and \to B

Q. Arrange the value of

| a + b + c |

in ascending order

A

.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

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C

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^a,^b,^c

are perpendicular to

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respectively.

Q. For any two vectors

^a

and

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prove that
(a)

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

(b)

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

Q. Given that

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find a unit vector co-planar with

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

The correct option is C →A×→BAB sinθ The vector product of →A and →B is given as →A×→B=AB sinθ ^nwhere ^n is the unit vector perpendicular to →A and →B. ∴ Unit vector perpendicular to →A and →B is given by ^n=→A×→BAB sinθ

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