College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Find the x and y components of the following vectors

## Vector Decomposition Exercise Consider the vector \(\vec{r} = (800 \text{ m}, \; 32^\circ \text{ below positive } x\text{-axis})\). ### Task: Express the components of the vector \(\vec{r}\) using two significant figures. Enter your answers numerically separated by a comma. ### Input Box: - **\(r_x, r_y =\) [input field] m** ### Instructions: - Use trigonometric functions to decompose the vector into its \(x\) and \(y\) components. - Ensure your answers are rounded to two significant figures. - Enter the \(x\)-component and the \(y\)-component separated by a comma in the input box provided. This exercise requires understanding of vector decomposition and the ability to use trigonometric functions such as cosine and sine to find the respective components of a vector given its magnitude and angle.
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Transcribed Image Text:## Vector Decomposition Exercise Consider the vector \(\vec{r} = (800 \text{ m}, \; 32^\circ \text{ below positive } x\text{-axis})\). ### Task: Express the components of the vector \(\vec{r}\) using two significant figures. Enter your answers numerically separated by a comma. ### Input Box: - **\(r_x, r_y =\) [input field] m** ### Instructions: - Use trigonometric functions to decompose the vector into its \(x\) and \(y\) components. - Ensure your answers are rounded to two significant figures. - Enter the \(x\)-component and the \(y\)-component separated by a comma in the input box provided. This exercise requires understanding of vector decomposition and the ability to use trigonometric functions such as cosine and sine to find the respective components of a vector given its magnitude and angle.
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Step 1

Given

|r| = 800 m

θ = 32o below positive x axis

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