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Which of the following expressions are m...

Which of the following expressions are meaningful?

A

`vecu.(vecvxxvecw)`

B

`(vecu.vecv).vecw`

C

`(vecu.vecv)vecw`

D

`vecuxx(vecv.vecw)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Since `vecvxxvecw` is a vector. Therefore `vecu.(vecvxxvecw)` is a scalar quantity.
As `(vecu.vecv)` is a scalar. Therefore `(vecu.vecv).vecw` is not meaningful.
But`(vecu.vecv)vecw` is a scalar multiple of `vecw`. So it is meaningful.
Since `vecv.vecw` is a scalar. So `vecuxx(vecvxxvecw)` is not meaningful.
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Knowledge Check

  • which of the following expression are meaningful?

    A
    `baru.(barvxxbarw)`
    B
    `(baru.barv).barw`
    C
    `(baru.barv)xxbarw`
    D
    `baruxx(barv.barw)`

  • Which of the following expressions have no meaning ?

    A
    `(hati .hatj)xx hatj`
    B
    `(1)/((hati xx hatk )xx hatj)`
    C
    `(1)/((hati xx hatk ) . hatj)`
    D
    `(1)/((hatj xx hatk ) . hatj)`

  • Which of the following expressions is not meaningful?

    A
    `vecu.(vecv xx vecw)`
    B
    `(vecu.vecv).vecw`
    C
    `(vecu.vecv)vecw`
    D
    `vecu.(vecv xx vecw)`

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