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Unformatted text preview: The method used in Example 6 is essentially resolving vectors into the east—west and the north— south components. The components of the sum of the vectors can be easily obtained by addition the components of the summands. We shall see how this relates to the algebraic definition of vector in the next section. NOTE. For many of the problems in physical world, vector quantities act in three dimensions rather than two. At least in theory, the same methods as in this section could be used to solve such problems. Each vector could be represented as a directed line segment in space, and these could be added and scaled accordingly. 1.2 Vector quantities and R” In Example 6 of Section 1.1.2, if we denote the vector of length 1 km towards the east by i and the vector of length 1 km towards the north by j, by the definition of geometric vectors we can write 3, 15 cos 65a i + 15 sin 65” j, 12 cos 148” i + 12 sin 148D j, and 28 cos(—1100) i+ 28 sin(—110C') j. Elgl n1? +Il"‘|fl nounn‘in'i'i‘trfl. nnmm11+n+i1ra 11711-1 A:C‘+T‘:k11+:1¥fl IIE‘I'PITC' n‘F Nanmn'i'r‘in Ifflfi'l'n'f‘c‘ "I‘Iffl I‘lfl'ITfl ...
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