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If \(\vec{A}\) and \(\vec{B}\) are two vectors satisfying the relation \(\vec{A} \cdot \vec{B}=|\vec{A} \times \vec{B}|\…

Q1

If \(\vec{A}\) and \(\vec{B}\) are two vectors satisfying the relation \(\vec{A} \cdot \vec{B}=|\vec{A} \times \vec{B}|\). Then the value of \(|\vec{A}-\vec{B}|\) will be:

[JEE Main 2021, 31 August (Shift 2)]

a

\(\sqrt{{A}^{2}+{B}^{2}-\sqrt{2}AB}\)

b

\(\sqrt{{A}^{2}+{B}^{2}}\)

c

\(\sqrt{{A}^{2}+{B}^{2}+2AB}\)

d

\(\sqrt{{A}^{2}+{B}^{2}+\sqrt{2}AB}\)

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