1. Vector Addition A quick intro on how we can add vectors graphically. Often we need to simplify a system in order to analyze it further. By finding the result of two (or more) vectors, we can simplify the problem at hand. Next

2. Generally, we will speak of vectors acting concurrently. ie. At the same point in space and time. These vectors are CONCURRENT Vector 1, A 1 Vector 2, A 2 Next Back

3. Try this: If these were force vectors, predict the direction in which the resulting force (the total force) might be. A1 A1 A2A2 Next Back

4. Hopefully you suggested up and to the right – if you did, you’re correct. A1 A1 A2A2 In this general direction… Next Back

5. Let’s accurately determine the resultant (the total vector) of these two vectors A 1 and A 2 by employing a graphical (or geometric means). A1 A1 A2A2 Next Back

6. Add the two vectors, A 1 and A 2, tip-to-tail (or head-to-tail), as per below: A1 A1 A2A2 The resultant R Translate one vector from its original concurrent position such that its tail is on the head of the other vector. The resultant vector is from the original point of concurrency to the head of the translated vector (first tail to last head). Next Back

7. Note that in doing this translation, you effectively create a parallelogram, whose sides are the two original vectors, plus the translated version of each vector. A1 A1 A2A2 R The resultant is now from the original point of concurrency to the opposite corner of the parallelogram. This is otherwise known as the parallelogram method of vector addition. Next Back

8. So, now you know how to add vectors graphically. Always add head to tail, and draw your resultant vector from an arrow tail to an arrow head – never from an arrow head to another arrow head. A1 A1 A2A2 R For example: DON’T DO THIS..!! IT’S WRONG ! Start Back