1.

    If AimesB=C\vec{A} imes \vec{B} = \vec{C}, which of the following is always true?

    A

    C\vec{C} is parallel to both A\vec{A} and B\vec{B}

    B

    C\vec{C} is perpendicular to both A\vec{A} and B\vec{B}

    C

    C\vec{C} is coplanar with A\vec{A} and B\vec{B}

    D

    C\vec{C} is equal to A+B\vec{A} + \vec{B}

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    Related Questions

    1.

    Which of the following is a correct property of the vector product?

    A

    AimesB=BimesA\vec{A} imes \vec{B} = \vec{B} imes \vec{A}

    B

    Aimes(B+C)=AimesB+AimesC\vec{A} imes (\vec{B} + \vec{C}) = \vec{A} imes \vec{B} + \vec{A} imes \vec{C}

    C

    AimesA=A2\vec{A} imes \vec{A} = |\vec{A}|^2

    D

    AimesB=BimesA\vec{A} imes \vec{B} = -\vec{B} imes \vec{A}

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    4.

    Projection of PonQ  {\rm{\vec P}}\,{\rm{on}}\,{\rm{\vec Q}}\; is

    A

    P.Q^{\rm{\vec P}}{\rm{.\hat Q}}

    B

    P^.Q{\rm{\hat P}}{\rm{.\vec Q}}

    C

    PimesQ^{\rm{\vec P}} imes \hat Q

    D

    PimesQ{\rm{\vec P}} imes {\rm{\vec Q}}

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    7.

    If A=B,{\rm{\vec A}} = {\rm{\vec B}}, then which of the following is not correct

    A

    A^=B^\hat A = \hat B

    B

    A^.B^=AB\hat A.\hat B = {\rm{AB}}

    C

    A=B\left| {{\rm{\vec A}}} \right| = \left| {{\rm{\vec B}}} \right|

    D

    AB^    BA^{\rm{A\hat B}}\left| {\rm{\;}} \right|{\rm{\;B\hat A}}

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    10.

    If AimesB=C\vec{A} imes \vec{B} = \vec{C}, which of the following is always true?

    A

    C\vec{C} is parallel to both A\vec{A} and B\vec{B}

    B

    C\vec{C} is perpendicular to both A\vec{A} and B\vec{B}

    C

    C\vec{C} is coplanar with A\vec{A} and B\vec{B}

    D

    C\vec{C} is equal to A+B\vec{A} + \vec{B}

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