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Vector addition is commutative if A and ...

Vector addition is commutative if A and B are

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Assertion: Vector addition is commutative. Reason: Two vectors may be added graphically using head- to-tail method or parallelogram method.

On Z an operation * is defined by a*b= a^2+b^2 for all a ,\ b in Z . The operation * on Z is (a)commutative and associative (b)associative but not commutative (c) not associative (d) not a binary operation

Matrix m ultiplication is commutative.

Assertion - Vector addition of two vector is always greater then their vector subtraction. Reason At theta =90^(@) , addition and subtraction of two vector are equal .

Matrix addition is associative as well as commutative.

In the following questions a statement of assertion (A) is followed by a statement of reason ( R). A : The addition of two vectors vecP and vecQ is commutative R: By triangle law of vector addition we can prove vecP+vecQ=vecQ+vecP .

The binary operation * defined on N by a*b= a+b+a b for all a ,\ b in N is (a) commutative only (b) associative only (c) commutative and associative both (d) none of these

Let * be a binary operation on Z defined by a*b= a+b-4 for all a ,\ b in Zdot Show that * is both commutative and associative.

Subtraction of integers is (a)commutative but not associative (b)commutative and associative (c)associative but not commutative (d) neither commutative nor associative