DISTRIBUTIVE LAW FOR DOT PRODUCT



DISTRIBUTIVE LAW FOR DOT PRODUCT
DISTRIBUTIVE LAW FOR
DOT PRODUCT
According to distributive law for dot product:

PROOF
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.
DISTRIBUTIVE LAW FOR DOT PRODUCT

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