Vectors are represented by arrows. They represent something that has magnitude, expressed by the length of the arrow, and direction shown by the direction the arrow head points away from the reference system.
Vector addition is really quite simple. Make sure all vectors of interest use the same units of magnitude. Pick a vector and place the tail of the arrow on the intersection of the reference system. Do not change it's direction or magnitude. Take the next vector you wish to add and place the tail at the tip of the arrow of the first vector. Again, do not change either direction or magnitude. Do this with all vectors you wish to add. Remember, NEVER CHANGE MAGNITUDE OR DIRECTION.
When you draw a new vector from the origin of the reference to the tip of the last vector in the chain of vectors being added, the new vector is the sum of all the vectors in the chain.
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The law is used to add vectors to find the resultant of two or more vectors acting at a point.
You can add the vectors graphically - join them head-to-tail. Or you can solve them algebraically: you can separate them into components, and add the components.
when you add the measurement of two or more vectors together
You can use the parallelgram rule, or if you have the vectors written as components you can just add them. If you give me an example I will help more Doctor Chuck
When the angle between the two vectors are not a multiple of 180 degrees.