ACTIVITY 1.5
COMMUTATIVITY OF THE ADDITION OF THREE OR MORE VECTORS

Main menu
Previous activity

Menu of the unit 1
Next activity


In previous activity we saw that we can write++ instead of  (+) + or of + (+).

Combining the associative property with the commutative property, we can write

++ =++ =++ =++ =++= ... etc.

In other words, we can add three vectors placing them in the order that we want; we will always obtain the same result.

Also we can apply the commutativity to the addition of more than three vectors:

++++ =++++ =++++ = ... etc.


INTERACTIVE ACTIVITY

You have a construction that represents the addition of three vectors =++.

You can translate the three vectors,and moving the corresponding green point. Try to do it.

1) Make one construction that represents the sum =++. That is to say, change the order of the adding vectors and check that obtains the same vector .

2) Repeats the construction representing the now the addition =++.

3) Finally, represents like the addition of the three vectors, and in a different order of the two previous.
                                    
SOLUTION


HOMEWORK
We give to you the same vectors in previous activity once more.
Make in your notebook the following additions:

1)++ and ++. Checks that the result is the same in both cases.

2)++ and ++. Checks that the result is the same in both cases.

END OF ACTIVITY 1.5
COMMUTATIVITY OF THE ADDITION OF THREE OR MORE VECTORS

Main menu
Previous activity

Menu of the unit 1
Next activity