If A- and B- are two vectors- the value of A- - B- - A- B- is then

The correct option is A 2( B⃗×A⃗ )( A⃗+B⃗ )×( A⃗ B⃗) =A⃗×A⃗ A⃗×B⃗+B⃗×A⃗ B⃗×B⃗ = B⃗×A⃗+B⃗×A⃗ = 2(B⃗×A⃗ ) ...

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Byju's Answer

Standard XII

Physics

Multiplication with Vectors

If A⃗ and ...

Question

If $\to A$ and $\to B$ are two vectors, the value of ( $\to A$ + $\to B) \times (\to A$ - $\to B$ ) is then

\to B \times \to A

)

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-2(

\to B \times \to A

)

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(

\to B \times \to A

)

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(

\to A \times \to B

)

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Solution

The correct option is A 2( $\to B \times \to A$ )
( $\to A + \to B) \times (\to A$ - $\to B)$
$= \to A \times \to A - \to A \times \to B + \to B \times \to A - \to B \times \to B$ = $\to B \times \to A + \to B \times \to A$
$= 2 (\to B \times \to A$ )

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If →A and →B are two vectors, the value of (→A + →B)×(→A-→B) is then

The correct option is A 2(→B×→A)(→A+→B)×(→A-→B)=→A×→A−→A×→B+→B×→A−→B×→B= →B×→A+→B×→A=2(→B×→A)

If $\to A$ and $\to B$ are two vectors, the value of ( $\to A$ + $\to B) \times (\to A$ - $\to B$ ) is then

The correct option is A 2( $\to B \times \to A$ )
( $\to A + \to B) \times (\to A$ - $\to B)$
$= \to A \times \to A - \to A \times \to B + \to B \times \to A - \to B \times \to B$ = $\to B \times \to A + \to B \times \to A$
$= 2 (\to B \times \to A$ )