State and prove the commutative property of vector addition.

Properties of vector

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 .

Express the following properties with variables x, y and z. (i) Commutative property of addition (ii) Commutative property of multiplication (iii) Associative property of addition (iv) Associative property of multiplication (v) Distributive property of multiplication over addition

Properties Of Whole Numbers: Closure Property|Associative Property|Distributive property|Commutative Property|Identity For Addition|Identity For Multiplication

(a) Show that vector adition is commutative but vector subtraction is non-commutative . (b) For vectors vecA=3hati-4hatj+5hatk and vecB=hati-hatj-hatk , calculate the value of (vecA+vecB)xx(vecA-vecB)

Addition of vectors

Parallelogram Law of Vector Addition

Properties Of Whole Numbers: Closure Property|Commutative Property|Associative Property|Distributive property|Identity For Addition|Identity For Multiplication

The commutative property for multiplication states that __________.

Properties of addition of vectors