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What is the order of the product [x" "y"...

What is the order of the product `[x" "y" "z][{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(z):}]`?

A

`3 xx 1`

B

`1 xx 1`

C

`1 xx 3`

D

`3 xx 3`

Text Solution

Verified by Experts

The correct Answer is:
B

Given `[x" "y" "z][{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(z):}]`
Consider `[x" "y" "z]_(1xx3)[{:(a,g,g),(h,b,f),(g,f,c):}]_(3xx3)`
`rArr` order of product `= 1 xx 3`
Now, order of product `= 1 xx 3` and order of `[{:(x),(y),(z):}]=3 xx 1`
`therefore` Required order `= 1 xx 1`
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