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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 ? a.` vec u .( vec vxx vec w)` b. `( vec vxx vec w). vec u` c. ` vec v.( vec uxx vec w)` d. `( vec uxx vec v).vec w`

A

`overset(to)(u). (overset(to) xx overset(to)(W))`

B

`(overset(to)(v) xx overset(to)(W)), overset(to)(u)`

C

` overset(to)(v), (overset(to)(u) xx overset(to)(W))`

D

`(overset(to)(u) xx overset(to)(W)) , overset(to)(W)`

Text Solution

Verified by Experts

The correct Answer is:
C
`[vec(u) vec(v) vec(w)]=|vec(v)vec(w)vec(u)|=[vec(w)vec(u)vec(v)]=-[vec(v)vec(u)vec(w)]`
Therefore (c ) is the answer.
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