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Let x, y, z be the vector, such that |x|...

Let x, y, z be the vector, such that `|x|=|y|=|z|=sqrt(2)` and x, y, z make angles of `60^(@)` with each other also, `xtimes(ytimesz)=a and ytimes(ztimesx)=b xtimesy=c,` . The value of z is

A

`(a+b)timesx-(a+b)`

B

`(a+b)-(a+b)timesc`

C

`(1)/(2){(a+b)timesc-(a+b)}`

D

None of these

Text Solution

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The correct Answer is:
C
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