DISTRIBUTIVE LAW FOR DOT PRODUCT Content
DISTRIBUTIVE LAW FOR DOT PRODUCT
DISTRIBUTIVE LAW FOR
|According to distributive law for dot product:|
|Consider three vectors , and .Here we will use geometric interpretation of dot product by drawing projection as shown below. 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 .|
The dot product is equal to the projection of vector onto the direction of multiplied by the magnitude of . i.e.