Non commutative and distributive law of vector product

a.a=|a|^(2) and commutative and distributive law of dot product

Commutative law

Wien's distribution law fails at

Distributive law is obeyed by

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 .

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 .

Define scalar product of two vectors . Show of two vectors . Show that scalar product of vectors satisfies the commutative and distributive laws.

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

Distribution law was given by