We look at a general vector r =\ overrightarrow { OA} +\ overrightarrow { OB} =\ overrightarrow { OA} +\ overrightarrow { AC }, see Fig. 3.11, which is decomposed ...
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Thus, as shown in Fig. 3.6 the displacement vectors are aligned, and we have \ overrightarrow {AB} +\ overrightarrow { BC} =\ overrightarrow { AC}.