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Unformatted text preview: Solution for On-Line Homework 16 Motion in a Plane I Solution to On-Line Homework Problem 16.1() Problem: What is the effect of adding multiple vectors (in two dimensions) in different orders? (Will the end result of each combination be the same or different?) Is the same true for subtraction? Select One of the Following: (a) adding: same; subtracting: same. (b-Answer) adding: same; subtracting: different. (c) adding: different; subtracting: same. (d) adding: different; subtracting: different. Solution Vector addition is commutative, which means that for any two vectors vectora and vector b , vectora + vector b = vector b + vectora So you can add vectors in any order you want, and you will get the same answer. Vector subtraction, in general, is not commutative. In other words, vectora − vector b negationslash = vector b − vectora So if you switch the order of subtraction, you will not get the same answer (except in special cases, of course, like when vectora = vector b )....
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