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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-2

  • question_answer
    If \[\vec{u}=\vec{a}-\vec{b},\,\,\vec{v}=\vec{a}+\vec{b}\] and \[|\vec{a}|\,=\,|\vec{b}|\,=2\], then  \[|\vec{u}\times \vec{v}|\,\]is equal to

    A)  \[2\sqrt{16-{{(\vec{a}.\vec{b})}^{2}}}\]

    B)         \[\sqrt{16-{{(\vec{a}.\vec{b})}^{2}}}\]

    C)  \[2\sqrt{4-{{(\vec{a}.\vec{b})}^{2}}}\]

    D)  \[\sqrt{4-{{(\vec{a}.\vec{b})}^{2}}}\]

    Correct Answer: A

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