### Vectors**Task:**1. Read the Vectors Section of Chapter 3 of the PHYS 201 textbook (Physics by Giancoli). In the figure below, a vector and its components are shown. Write down the expression of the components \( A_x \) and \( A_y \) in terms of the magnitude \( A \) and the angle \( \theta \). Also, write the expressions of the magnitude of the vector \( A \) and the angle \( \theta \) in terms of the components \( A_x \) and \( A_y \).#### Figure Explanation:The figure is a graphical representation of a vector \( \vec{A} \) in the Cartesian coordinate system. The vector \( \vec{A} \) is shown in blue, forming an angle \( \theta \) with the positive x-axis. This vector is broken down into its horizontal and vertical components, \( A_x \) and \( A_y \) respectively.- **Vector \( \vec{A} \)**: Shown as a blue arrow originating from the origin (0,0) and extending to a point in the first quadrant.- **Component \( A_x \)**: The horizontal component of vector \( \vec{A} \), shown as a blue horizontal arrow extending from the origin to the right along the x-axis.- **Component \( A_y \)**: The vertical component of vector \( \vec{A} \), shown as a blue vertical arrow extending upward from the x-axis.- **Angle \( \theta \)**: The angle between the vector \( \vec{A} \) and the positive x-axis, located in the first quadrant.The right triangle formed by these components aids in visually understanding how vector \( \vec{A} \) can be expressed using \( A_x \) and \( A_y \).#### Required Expressions:- **Components \( A_x \) and \( A_y \) in terms of \( A \) and \( \theta \):** \[ A_x = A \cos(\theta) \] \[ A_y = A \sin(\theta) \]- **Magnitude \( A \) and angle \( \theta \) in terms of components \( A_x \) and \( A_y \):** \[ A = \sqrt{A_x^2 + A_y^2} \

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1- Read the Vectors Section of Chapter 3 of the PHYS 201 text book (Physics by Giancoli). In the Figure below a vector and its components are shown. Write down the expression of the components Ax, and Ay in term of the magnitude A and the angle 0. Also write the expressions of the magnitude of the vector A and the angle 0 in terms of the components Ax, and Ay. A, A

1- Read the Vectors Section of Chapter 3 of the PHYS 201 text book (Physics by Giancoli). In the Figure below a vector and its components are shown. Write down the expression of the components Ax, and Ay in term of the magnitude A and the angle 0. Also write the expressions of the magnitude of the vector A and the angle 0 in terms of the components Ax, and Ay. A, A

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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