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If veca=hati+hatj+hatk and vecb=hati-hat...

If `veca=hati+hatj+hatk` and `vecb=hati-hatk` . Find a vector `vecc` such that `vecaxxvecc=vecb` and `veca*vecc=3`.

Text Solution

Verified by Experts

The correct Answer is:
`c=(5)/(3)hati+(2)/(3)hatj+(2)/(3)hatk`
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Knowledge Check

  • If veca = hati+2hatj-hatk , vecb = hati+hatj+2hatk , vecc = 2hati-hatj then

    A
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    B
    `vecbbotvecc`
    C
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    B
    `vecC` is parallel to` vecA`
    C
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    D
    C is parallel to`vecA` and `vecB`

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