Distributive Law Of Vector Addition

Associative distributive and commutative law of vector addition definition vector addition follows.

Distributive law of vector addition. Vector addition the law states that the sum of vectors remains same irrespective of their order or grouping in which they are arranged. A b c a b c 2. A b b a 3. There are two other forms of distributive law a.

If a vector is multiplied by a scalar as in then the magnitude of the resulting vector is equal to the product of p and the magnitude of and its direction is the same as if p is positive and opposite to if p is negative. Distributive law in mathematics the law relating the operations of multiplication and addition stated symbolically a b c ab ac. First we obtain the sum of vectors and by head to tail rule then we draw projection and from the terminal point of vector respectively onto the direction of. That said virtually every product involving vectors distribute over vector addition.

It doesnt really make sense to ask about the distributive law and just refer to a single operation. The dot product is equal to the projection of vector onto the direction of multiplied by the magnitude of. B c a. C a b c a b a c.

That is the monomial factor a is distributed or separately applied to each term of the binomial factor b c resulting in the product ab ac. The distributive law is a relationship between two operators like addition and multiplication.