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