Related Questions

    1.

    If A=2i^+3j^+4k^andB=4i^+3j^+2k^\overrightarrow A = 2\hat i + 3\hat j + 4\hat k\,\,and\,\,{\rm{\vec B}} = 4\hat i + 3\hat j + 2\hat k, then angle between A\overrightarrow A and B{\rm{\vec B}} is

    A

    sin1(25/29){\sin ^{ - 1}}\left( {25/29} \right)

    B

    sin1(29/25){\sin ^{ - 1}}\left( {29/25} \right)

    C

    cos1(25/29){\cos ^{ - 1}}\left( {25/29} \right)

    D

    cos1(29/25){\cos ^{ - 1}}\left( {29/25} \right)

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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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    6.

    If  P=4i^2j^+6k^  andQ=i^2j^3k^{\rm{\vec P}} = 4{\rm{\hat i}} - 2{\rm{\hat j}} + 6{\rm{\hat k\;}}\,\,\,{\rm{and}}\,\,{\rm{\vec Q}} = {\rm{\hat i}} - 2{\rm{\hat j}} - 3{\rm{\hat k}} , then the angle which P+Q{\rm{\vec P}} + {\rm{\vec Q}} makes with x-axis is

    A

    cos1  (350){\cos ^{ - 1}}\;\left( {\frac{3}{{\sqrt {50} }}} \right)

    B

    cos1  (450){\cos ^{ - 1}}\;\left( {\frac{4}{{\sqrt {50} }}} \right)

    C

    cos1  (550){\cos ^{ - 1}}\;\left( {\frac{5}{{\sqrt {50} }}} \right)

    D

    cos1  (1250){\cos ^{ - 1}}\;\left( {\frac{{12}}{{\sqrt {50} }}} \right)

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    10.

    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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