In Section 9.4 we will see that vector addition is
Chapter 9, Problem 55(choose chapter or problem)
In Section 9.4 we will see that vector addition is associative. That is, for any three vectors A, B, and C, we have (A B) C A (B C). In this exercise you are going to check that this property holds in a particular case. OLet A, B, and C be the vectors with initial and terminalpoints as follows:Vector Initial point Terminal pointA (1, 2) (2, 4)B (1, 2) (3, 0)C (6, 2) (4, 3)(a) Use the definition of vector addition on page 668to determine the initial and terminal points of(A B) C. Suggestion: Use graph paper.(b) Use the definition of vector addition to determinethe initial and terminal points of A (B C). [Youranswers should agree with those in part (a).]I
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