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Resolving a vector into components is like the parallelogram or head-to-tail method in reverse. Consider the following example. Given vector R: R, and R, are the x and y (scalar) components of R. Rj Note: The vector notati on for the scalar components is dropped. However, the vector may be expressedin vector components or scal ar components with unit vectors RR, +R, -R,i +RJ In determining the x and y components of vector R, you are looking for vectors along the x and y axes that add up to produce R. Sumply draw a rectangle (a special case of a parallelogram) to determine Ra and R, Note that above both components are positive since both point along the positive x and y axes. 1. Sketch the x and y components of d A, is positive / negative A, is positive/ negative With a little right triangle trigonometry, component values can be determined The basic trironometric relationships are shown

Resolving a vector into components is like the parallelogram or head-to-tail method in reverse. Consider the following example. Given vector R: R, and R, are the x and y (scalar) components of R. Rj Note: The vector notati on for the scalar components is dropped. However, the vector may be expressedin vector components or scal ar components with unit vectors RR, +R, -R,i +RJ In determining the x and y components of vector R, you are looking for vectors along the x and y axes that add up to produce R. Sumply draw a rectangle (a special case of a parallelogram) to determine Ra and R, Note that above both components are positive since both point along the positive x and y axes. 1. Sketch the x and y components of d A, is positive / negative A, is positive/ negative With a little right triangle trigonometry, component values can be determined The basic trironometric relationships are shown

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Resolving a vector into components is like the parallelogram or head-to-tail method in reverse. Consider the following example. Given vector R: R, and R, are the x and y (scalar) components of R. Rj Note: The vector notati on for the scalar components is dropped. However, the vector may be expressedin vector components or scal ar components with unit vectors RR, +R, -R,i +RJ In determining the x and y components of vector R, you are looking for vectors along the x and y axes that add up to produce R. Sumply draw a rectangle (a special case of a parallelogram) to determine Ra and R, Note that above both components are positive since both point along the positive x and y axes. 1. Sketch the x and y components of d A, is positive / negative A, is positive/ negative With a little right triangle trigonometry, component values can be determined The basic trironometric relationships are shown
Transcribed Image Text:Resolving a vector into components is like the parallelogram or head-to-tail method in reverse. Consider the following example. Given vector R: R, and R, are the x and y (scalar) components of R. Rj Note: The vector notati on for the scalar components is dropped. However, the vector may be expressedin vector components or scal ar components with unit vectors RR, +R, -R,i +RJ In determining the x and y components of vector R, you are looking for vectors along the x and y axes that add up to produce R. Sumply draw a rectangle (a special case of a parallelogram) to determine Ra and R, Note that above both components are positive since both point along the positive x and y axes. 1. Sketch the x and y components of d A, is positive / negative A, is positive/ negative With a little right triangle trigonometry, component values can be determined The basic trironometric relationships are shown
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