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Range of Trigonometric Expressions

A⃗×B⃗ = B⃗×...

Question

$\to A \times \to B$ = $\to B \times \to A,$ then the angle between $\to A$ and $\to B$ is

A

π

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B

π / 3

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C

π / 2

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D

π / 4

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Solution

The correct option is A $π$
$\begin{matrix} \to A \times \to B = \to B \times \to A A B sin θ_{1} = B A sin θ_{2} sin θ_{1} = - sin θ_{2} θ = π H e n c e, o p t i o n A i s c o r r e c t a n s w e r . \end{matrix}$

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Similar questions

\to A

\to B

are two non-zero vectors and

\to A \times \to B = \to B \times \to A

then the angle between

\to A

\to B

\to a, \to b, \to c

are unit vectors and the angles between

\to a, \to b

\to b, \to c

\to c, \to a

\frac{π}{6}, \frac{π}{3}

\frac{π}{4}

respectively, then

| \to a + \to b + \to c |

Let the vectors and be such that and, then is a unit vector, if the angle between and is

(A) (B) (C) (D)

| \to a | = 4, | \to b | = 2

and the angle between

\to a

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\frac{π}{6}

(\to a \times \to b)^{2}

| \to a + \to b | = | \to a - \to b |

(\to a, \to b) = \frac{π}{2}

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are unit vectors, then

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.

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