## Solution:

Consider the three vectors shown in the figure below:

First, we shall add them A+B+C. Using the head-tail or graphical method of vector addition, we have the figure shown below.

Now, let us try to find the sum of the three vectors by reordering vectors A, B, and C. Let us try to find the sum of C+B+A in that order. The result is shown below.

We can see that the resultant is the same directed from the origin upward. This proves that the resultant must be the same even if the vectors are added in different order.

## Physics for Scientists and Engineers 3E by R. Knight, P1.29

#### d. $\displaystyle 12.5^{-1}$

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## Physics for Scientists and Engineers 3E by R. Knight, P1.28

#### d. $\displaystyle 333.3\div 25.4$

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