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For three vectors vec u , vec va n d ve...

For three vectors ` vec u , vec va n d vec w` which of the following expressions is not equal to any of the remaining three ? ` vec udot( vec vxx vec w)` b. `( vec vxx vec w)dot vec u` c. ` vec vdot( vec uxx vec w)` d. `( vec uxx vec v)dot vec w`

A

(a) `vecu.(vecvxx vecw)`

B

(b) `(vecvxx vecw).vecu`

C

(c) `vecv.(vecuxx vecw)`

D

(d) `(vecuxx vecv).vecw`

Text Solution

Verified by Experts

The correct Answer is:
c

`[ vecu vecv vecw] = [vecv vecw vecu] = [vecw vecu vecv]`
but `[vecv vecu vecw]=- [vecu vecv vecw]`
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