Question

state and prove that dot product obeys the distributive law​

Answer 1

Answer:

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 o

Answer 2

Dot product proof

The dot product is distributive over vector addition

Is dot product commutative

What does the dot product represent

Dot product formula

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