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Is a vector necessarily changed if it is...

Is a vector necessarily changed if it is rotated through anangle?

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If vector vec i+2vec j+2vec k is rotated through an angle of 90^(@), so as to cross the positivedirection of y-axis,then the vector in the new position is

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Knowledge Check

  • Assertion : The resultant acceleration of an ob- ject in circular motion is towards the centre if the speed is constant. Reason : A vector is necessarily changed if it is rotated through an angle.

    A
    If both Assertion & Reason are true & the Reason is a correct explanation of the Assertion.
    B
    If both Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
    C
    If Assertion is true but the Reason is false.
    D
    If both Assertion & Reason are false.

  • A vector may change if :

    A
    frame of refernce is translated
    B
    frame of reference id rotated
    C
    vector is translated parallel to itself
    D
    vector is rotated

  • The vector hati + xhatj + 3hatk is rotated through an angle theta and doubled in magnitude then it becomes 4hati + (4x -2)hatj + 2hatk .The values of x

    A
    {-2/3 ,2}
    B
    {1/3 , 2}
    C
    {2/3 ,0}
    D
    {2,3}

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    The vector hati+xhatj+3hatk is rotated through an angle theta and doubled in magnitude, then it becomes 4hati+(4x-2)hati+2hatk . The value of x is

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