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

Non commutative and distributive law

Commutative law

Wien's distribution law fails at

Distributive law is obeyed by

Write the distributive law for the product of two vectors.

Theorem 5 (distributive Laws)

The law a+b=b+a is called (a) closure law (b) associative law (c) commutative law (d) distributive law

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

Dot product and Cross product