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Two vectors vecA and vecB lie in a plane...

Two vectors `vecA` and `vecB` lie in a plane, another vector `vecC` lies outside this plane, then the resultant of these three vectors i.e. `vecA+vecB+vecC`

A

can be zero

B

cannot be zero

C

lies in the plane containing `vecA & vecB`

D

lies in the plane containing `vecB & vecC`

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The correct Answer is:
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Knowledge Check

  • The resultant of two vectors vecA and vecB" is "vecC . If the megnitude of vecB is doubled, the new resultant vector becomes perpendicular to vecA , then the magnitude of vecC is

    A
    2B
    B
    B
    C
    3B
    D
    4B

  • If veca lies in the plane of vectors vecb and vecc , then which of the following is correct?

    A
    `[(veca,vecb, vecc)]=0`
    B
    `[(veca, vecb, vecc)]=1`
    C
    `[(veca, vecb, vecc)]=3`
    D
    `[(veca, vecc, veca)]=1`

  • If veca,vecb and vecc are three non-coplanar vectors then the length of projection of vector veca in the plane of the vectors vecb and vecc may be given by

    A
    `(|veca.(vecbxxvecc)|)/(|vecbxxvecc|)`
    B
    `|(vecaxx(vecbxxvecc)|)/(|vecbxxvecc|)`
    C
    `([(veca,vecb,vecc)])/(vecb.vecc)`
    D
    none of these

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