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Which of the following expressions are...

Which of the following expressions are meaningful? a. ` vec u.(vec vxx vec w)` b. `vec u. vec v. vec w` c. `( vec u vec v). vec w` d. ` vec uxx( vec v. vec w)`

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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