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Other Ba n.wiley.com/was/ui/v2/adaptive-assessment-player/index.html?launchid=d27faedb-20b7-4b61-a946-e85b4a820647#/activity Bartender M Gmail ▸YouTube N WeBWork: S_RR... WebWork: S_RR... Practice 1.8 Addition of Vectors by Means of Components Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115° relative to the x-axis. Vector has magnitude of C and is at an angle of 223° relative to the x-axis. The three vectors add up to zero, i.e., A + B + C = 0. What is the magnitude of vector C? O 135 mm O 97 mm O 108 mm 0 115 mm O 143 mm Submit Answer Save for Later

Other Ba n.wiley.com/was/ui/v2/adaptive-assessment-player/index.html?launchid=d27faedb-20b7-4b61-a946-e85b4a820647#/activity Bartender M Gmail ▸YouTube N WeBWork: S_RR... WebWork: S_RR... Practice 1.8 Addition of Vectors by Means of Components Vector A has magnitude 150.0 mm along the x-axis. Vector B has magnitude of B at an angle of 115° relative to the x-axis. Vector has magnitude of C and is at an angle of 223° relative to the x-axis. The three vectors add up to zero, i.e., A + B + C = 0. What is the magnitude of vector C? O 135 mm O 97 mm O 108 mm 0 115 mm O 143 mm Submit Answer Save for Later

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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Wondering if I can get some help with vectors where we know the direction but don't know the magnitude.

### 1.8 Addition of Vectors by Means of Components **Practice Problem:** Vector **
Transcribed Image Text:### 1.8 Addition of Vectors by Means of Components **Practice Problem:** Vector **
### Vectors and Equilibrium Diagram #### Problem #17 The diagram depicts three vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\) arranged in a coordinate system. Each vector has a specific magnitude and direction which are labeled and described below. #### Vectors - **\(\vec{A}\) (Blue Vector)** - Magnitude: 115 mm - Direction: Horizontal along the positive x-axis - **\(\vec{B}\) (Green Vector)** - Angle with respect to the reference (positive x-axis): 25 degrees - Located in the second quadrant (angled upward and to the left) - **\(\vec{C}\) (Red Vector)** - Angle with respect to the reference (positive x-axis): 148 degrees - Located in the third quadrant (angled downward and to the left) #### Equilibrium Equation The relationship between the vectors is given by the following equilibrium equation: \[ \vec{A} + \vec{B} + \vec{C} = 0 \] This equation implies that the sum of the vectors results in a net force of zero, indicating that they are in a state of equilibrium. #### Vector Components To satisfy the equilibrium condition: - The x-components and y-components of the vectors must each sum to zero. - For \(\vec{A}\): \[ A_x = 115 \, \text{mm} \] \[ A_y = 0 \, \text{mm} \] Thus, vector \(\vec{A}\) only has a horizontal component. By adding the components of vectors \(\vec{B}\) and \(\vec{C}\) and ensuring they balance out \(\vec{A}\), we achieve equilibrium in the system. #### Diagram Description - A coordinate system with the x and y axes is provided. - **Vector \(\vec{A}\)** is depicted as a blue arrow extending horizontally to the right along the x-axis. - **Vector \(\vec{B}\)** is illustrated as a green arrow extending outward from the origin, angled at 25 degrees from the x-axis towards the second quadrant. - **Vector \(\vec{C}\)** is illustrated as a red arrow pointing downwards to the left, with an angle of 148 degrees from the positive x-axis, belonging
Transcribed Image Text:### Vectors and Equilibrium Diagram #### Problem #17 The diagram depicts three vectors \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\) arranged in a coordinate system. Each vector has a specific magnitude and direction which are labeled and described below. #### Vectors - **\(\vec{A}\) (Blue Vector)** - Magnitude: 115 mm - Direction: Horizontal along the positive x-axis - **\(\vec{B}\) (Green Vector)** - Angle with respect to the reference (positive x-axis): 25 degrees - Located in the second quadrant (angled upward and to the left) - **\(\vec{C}\) (Red Vector)** - Angle with respect to the reference (positive x-axis): 148 degrees - Located in the third quadrant (angled downward and to the left) #### Equilibrium Equation The relationship between the vectors is given by the following equilibrium equation: \[ \vec{A} + \vec{B} + \vec{C} = 0 \] This equation implies that the sum of the vectors results in a net force of zero, indicating that they are in a state of equilibrium. #### Vector Components To satisfy the equilibrium condition: - The x-components and y-components of the vectors must each sum to zero. - For \(\vec{A}\): \[ A_x = 115 \, \text{mm} \] \[ A_y = 0 \, \text{mm} \] Thus, vector \(\vec{A}\) only has a horizontal component. By adding the components of vectors \(\vec{B}\) and \(\vec{C}\) and ensuring they balance out \(\vec{A}\), we achieve equilibrium in the system. #### Diagram Description - A coordinate system with the x and y axes is provided. - **Vector \(\vec{A}\)** is depicted as a blue arrow extending horizontally to the right along the x-axis. - **Vector \(\vec{B}\)** is illustrated as a green arrow extending outward from the origin, angled at 25 degrees from the x-axis towards the second quadrant. - **Vector \(\vec{C}\)** is illustrated as a red arrow pointing downwards to the left, with an angle of 148 degrees from the positive x-axis, belonging
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