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In this figure a vector A with a positive slope is drawn from the origin.

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Graphical Addition of Vectors: The head-to-tail method of vector addition requires that you lay out the first vector along a set of coordinate axes.

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This can be illustrated in the following two diagrams. Notice that (u + v) + w and u + (v + w ) have the same magnitude and direction and so they are equal.

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In each case, use the Pythagorean theorem to determine the magnitude of the vector sum. When finished, click the button to view the answer.

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Figure 6: Vectors C and D resolved into components graphically and analyically, along with their resultant vector R.

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