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When we add 5+6 we get 11. If suppose I add 6+5, once again

I get same 11. So if we add 5 with 6 or 6 with 5 we get the same result. So though we change the order the result remains the same. So we say addition is commutative. But in case of subtraction this is not so.

As we subtract 5 from 6 we get +1 and if we subtract 6 from 5 then we get -1.

+1 and -1 are not equal. 6-5 not= 5-6. Here commutative property does not hold good in case of subtraction.

Same way 5 x 6 gives 30 and 6 x 5 also gives 30. Hence multiplication is commutative. But vector multiplication is not commutative.

a x b not= b x a. Here x stands for cross product symbol of two vectors.

a . b = b . a

Scalar product, of course, is commutative but vector product is not so.

So we name a device being used in physics experiments as commutator which would make current flow in both the directions in Tangent Galvanometer.

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