Question

Subtraction of vectors obeys .......

Answer 1

Answer:

, subtraction never obeys the commutative law, not even subtraction of scalars. For subtraction, we have the relation

x—y=−(y−x).

Note the minus sign in front, this is what spoils the commutative law for subtraction.

Addition does obey the commutative law, for scalars, vectors, and members of all kinds of infinite dimensional spaces, e.g. Banach Spaces, Hilbert spaces, etc.

x+y=y+x.

Explanation:

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Answer 2

Answer:

No, subtraction never obeys the commutative law, not even subtraction of scalars. For subtraction, we have the relation

x—y=−(y−x).x—y=−(y−x).

Note the minus sign in front, this is what spoils the commutative law for subtraction.

Addition does obey the commutative law, for scalars, vectors, and members of all kinds of infinite dimensional spaces, e.g. Banach Spaces, Hilbert spaces, etc.

x+y=y+x.