If A - B - A - B -0 then A - B is equal to

The correct option is D 1 : 1 | A | #160; ^ 2 | B | #160; ^ 2 =0 ⇒ | A | #160; =| B | #160; ⇒ | A | #160; | B | #160; #160; = 1 ...

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Byju's Answer

Standard XII

Mathematics

Applications of Dot Product

If A + B ....

Question

If $(\to A + \to B) . (\to A - \to B) = 0 t h e n \to A : \to B$ is equal to

1 : 2

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2 : 1

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1 : 1

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1 : 3

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Solution

The correct option is D 1 : 1
${| A |}^{2} - {| B |}^{2} = 0$
$\Rightarrow | A | = | B |$
$\Rightarrow \frac{| A |}{| B |} = 1$
Hence, we are asked $\frac{\to A}{\to B} = 1,$ and division of vectors is anyway not possible.

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Similar questions

Q. If a and b are rational numbers and

\frac{\sqrt{11} - \sqrt{7}}{\sqrt{11} + \sqrt{7}} = a - b \sqrt{77},

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If $Δ ∣ ∣ ∣ ∣ \begin{matrix} a_{11} & a_{12} & a_{13} a_{21} & a_{22} & a_{23} a_{31} & a_{32} & a_{33} \end{matrix} ∣ ∣ ∣ ∣$ and $A_{i j}$ is cofactor of $a_{i j}$ , then value of $Δ$ is given by

a) $a_{11} A_{31} + a_{12} A_{32} + a_{13} A_{33}$
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d) $a_{11} A_{11} + a_{21} A_{21} + a_{31} A_{31}$

Q. According to mass-energy equivalence, energy contained in 1 g of mass is

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If (→A+→B).(→A−→B)=0then→A:→B is equal to

The correct option is D 1 : 1|A|2−|B|2=0⇒|A|=|B|⇒|A||B|=1Hence, we are asked →A→B=1, and division of vectors is anyway not possible.

If $(\to A + \to B) . (\to A - \to B) = 0 t h e n \to A : \to B$ is equal to

The correct option is D 1 : 1
${| A |}^{2} - {| B |}^{2} = 0$
$\Rightarrow | A | = | B |$
$\Rightarrow \frac{| A |}{| B |} = 1$
Hence, we are asked $\frac{\to A}{\to B} = 1,$ and division of vectors is anyway not possible.