please include explanations and work. Consider the position vector a shown in the diagram below. a makes an angle withthe positive x axis, as shown.0XTal.)(a) Find the x and y components of a. (Leave your answer in terms of a =(b) Now consider what happens when the coordinate system is rotated by 90° counter-clockwise, so that the new x'-axis points along the direction of the old y-axis. Findthe x' and y' components of a. (That is, find the components of a in the rotatedcoordinate system.)ay'TONotice that we have rotated the coordinate system, but not the vector. In otherwords, the coordinates (x, y) of vector a in the original reference frame are differentthan the coordinates (x', y') in the rotated reference frame. But the vector has notchanged (its length is the same and it still points in the same direction). This isbecause a vector exists in the absence of a coordinate system: Any vector is fullydefined by a magnitude (a length) and a direction. The same vector has differentrepresentations in different reference systems.

Answered: Image /qna-images/answer/052fd7c2-179b-49d3-8939-0b678372b06b.jpg

Consider the position vector a shown in the diagram below. a makes an angle with the positive x axis, as shown. Notion that 0 (a) Find the x and y components of a. (Leave your answer in terms of a = Tal.) (b) Now consider what happens when the coordinate system is rotated by 90° counter- clockwise, so that the new x'-axis points along the direction of the old y-axis. Find the x' and y' components of a. (That is, find the components of a in the rotated coordinate system.) y' X X' a but

Consider the position vector a shown in the diagram below. a makes an angle with the positive x axis, as shown. Notion that 0 (a) Find the x and y components of a. (Leave your answer in terms of a = Tal.) (b) Now consider what happens when the coordinate system is rotated by 90° counter- clockwise, so that the new x'-axis points along the direction of the old y-axis. Find the x' and y' components of a. (That is, find the components of a in the rotated coordinate system.) y' X X' a but

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 91CP: between points in a plane do not change when a coordinate system is rotated In other words, the...

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