Vector Addition - Geometry

Definition of Vector Addition

To add vectors V and W, take the TAIL TW of W and move it to the HEAD HV of V by parallel displacement.

Then V + W is the vector whose tail is at the tail of V and head is at the head of W.

If we fill in another copy of V and W then we have a parallelogram.. Its diagonal is V+W. This is called the PARALLELOGRAM law of addition.

Change the length and direction of W by moving the indicated point. Note how the configuration changes. (You can also change the head and tail of V).

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