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The vector in the direction of the vecto...

The vector in the direction of the vector `vec(a)=bar(i)-2bar(j)+2bar(k)` that has magnitude 9 is ……..

A

`bar(i)-2bar(j)+2bar(k)`

B

`(bar(i)-2bar(j)+2bar(k))/(3)`

C

`3(bar(i)-2bar(j)+2bar(k))`

D

`9(bar(i)-2bar(j)+2bar(k))`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The unit vector in the direction of bar(x)=(-2,1,-2) is …………..

    A
    `((2)/(3),-(1)/(3),(2)/(3))`
    B
    `(-(2)/(3),(1)/(3),-(2)/(3))`
    C
    `(-(2)/(9),(1)/(9),-(2)/(9))`
    D
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  • The number of vectors of unit length perpendicular to the vectors bar(a)=2bar(i)+bar(j)+2bar(k) and bar(b)=bar(j)+bar(k) is ………….

    A
    Only one
    B
    Only two
    C
    Only three
    D
    infinite

  • The value of lambda for which the vectors 3bar(i)-6bar(j)+bar(k) and 2bar(i)-4bar(j)+lambda bar(k) are parallel is …..

    A
    `(2)/(3)`
    B
    `(3)/(2)`
    C
    `(5)/(2)`
    D
    `(2)/(5)`

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