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Are the commutative law and associtive l...

Are the commutative law and associtive law applicable to vectors subtraction.

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We cannot apply the commutative law to the vectors subtraction because ` vec A -vec B != vec B - vec A`.
As ` (vec A -vec B) and (vec B - vec A) are acting in opposite directions.
The associative laws to vectors subtraction cannot be applied because
` ( vec A- vec B) - vec C != vec A - (vec B- vec C)`.
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