component method.pdf

Each entry in the 2 dimensional ordered pair a b or 3

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Each entry in the 2- dimensional ordered pair ( a , b ) or 3-dimensional triplet ( a , b , c ) is called a component of the vector. Unless otherwise specified, it is normally understood that the entries correspond to the number of units the vector has in the x , y , and (for the 3D case) z directions of a plane or space. In other words, you can think of the components as simply the coordinates of the point associated with the vector. (In some sense, the vector is the point, although when we draw vectors we normally draw an arrow from the origin to the point.) Figure %: The vector (a, b) in the Euclidean plane. Vector Addition Using Components Given two vectors u = ( u 1, u 2) and v = ( v 1, v 2) in the Euclidean plane, the sum is given by: u + v = ( u 1 + v 1, u 2 + v 2) 7 "crazy" women literature who w actually being totally reasonab 8 "gross" things we're reclaiming behalf of girls everywhere Harry Po ! er vill ranked from "ki evil" to "literally WORST" QUIZ: What's yo make-out style? Pride and Prejud as told in a serie of texts Every Shakespe play summed up a single senten 5 literary antagonists wh were technicall the good guys, you think about Valentines from fictional charac Take a Study Break! Share 70 Page 1 of 2 By keyword

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For three-dimensional vectors u = ( u 1, u 2, u 3) and v = ( v 1, v 2, v 3), the formula is almost identical: u + v = ( u 1 + v 1, u 2 + v 2, u 3 + v 3) In other words, vector addition is just like ordinary addition: component by component.
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