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# Vector Addition is Commutative

In this lecture, you will understand step by step process the proof of "Vector addition is commutative"

In other words, we have to prove that a vector + b vector = b vector + a vector.

As per triangle law of vectors,

OC Vector is a vector + b vector

OC vector = a vector + b vector -------------- 1st point

Because BC and OB vectors are equidistant to the OA and AC vector, so we can show a vector on BC vector and b vector on OB vector.

So, OB vector + BC vector = OC vector

b vector + a vector = OC vector

Put the value of OC vector from first point

b vector + a vector = a vector + b vector

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