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### Vector Addition and Analysis #### Problem Statement Three vectors are shown in the figure. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. #### Diagram Description The diagram depicts three vectors labeled \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\). 1. **Vector \(\vec{A}\)** has a magnitude of 44.0 units and is directed at 28 degrees above the positive x-axis. 2. **Vector \(\vec{B}\)** has a magnitude of 26.5 units and is directed at 56 degrees below the positive x-axis. 3. **Vector \(\vec{C}\)** has a magnitude of 31.0 units and is directed along the negative y-axis. ### Tasks #### A. Components Express answers using 3 significant figures separated by comma. \[ \vec{A} + \vec{B} + \vec{C} \] \[ \left(A_x + B_x + C_x, A_y + B_y + C_y\right) \] #### B. Magnitude \[ \left| \vec{A} + \vec{B} + \vec{C} \right| \] #### C. Angle with the +X axis \[ \theta = \boxed{\phantom{0^\circ}}\]

### Vector Addition and Analysis #### Problem Statement Three vectors are shown in the figure. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. #### Diagram Description The diagram depicts three vectors labeled \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\). 1. **Vector \(\vec{A}\)** has a magnitude of 44.0 units and is directed at 28 degrees above the positive x-axis. 2. **Vector \(\vec{B}\)** has a magnitude of 26.5 units and is directed at 56 degrees below the positive x-axis. 3. **Vector \(\vec{C}\)** has a magnitude of 31.0 units and is directed along the negative y-axis. ### Tasks #### A. Components Express answers using 3 significant figures separated by comma. \[ \vec{A} + \vec{B} + \vec{C} \] \[ \left(A_x + B_x + C_x, A_y + B_y + C_y\right) \] #### B. Magnitude \[ \left| \vec{A} + \vec{B} + \vec{C} \right| \] #### C. Angle with the +X axis \[ \theta = \boxed{\phantom{0^\circ}}\]

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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### Vector Addition and Analysis #### Problem Statement Three vectors are shown in the figure. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. #### Diagram Description The diagram depicts three vectors labeled \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\). 1. **Vector \(\vec{A}\)** has a magnitude of 44.0 units and is directed at 28 degrees above the positive x-axis. 2. **Vector \(\vec{B}\)** has a magnitude of 26.5 units and is directed at 56 degrees below the positive x-axis. 3. **Vector \(\vec{C}\)** has a magnitude of 31.0 units and is directed along the negative y-axis. ### Tasks #### A. Components Express answers using 3 significant figures separated by comma. \[ \vec{A} + \vec{B} + \vec{C} \] \[ \left(A_x + B_x + C_x, A_y + B_y + C_y\right) \] #### B. Magnitude \[ \left| \vec{A} + \vec{B} + \vec{C} \right| \] #### C. Angle with the +X axis \[ \theta = \boxed{\phantom{0^\circ}}\]
Transcribed Image Text:### Vector Addition and Analysis #### Problem Statement Three vectors are shown in the figure. Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. #### Diagram Description The diagram depicts three vectors labeled \(\vec{A}\), \(\vec{B}\), and \(\vec{C}\). 1. **Vector \(\vec{A}\)** has a magnitude of 44.0 units and is directed at 28 degrees above the positive x-axis. 2. **Vector \(\vec{B}\)** has a magnitude of 26.5 units and is directed at 56 degrees below the positive x-axis. 3. **Vector \(\vec{C}\)** has a magnitude of 31.0 units and is directed along the negative y-axis. ### Tasks #### A. Components Express answers using 3 significant figures separated by comma. \[ \vec{A} + \vec{B} + \vec{C} \] \[ \left(A_x + B_x + C_x, A_y + B_y + C_y\right) \] #### B. Magnitude \[ \left| \vec{A} + \vec{B} + \vec{C} \right| \] #### C. Angle with the +X axis \[ \theta = \boxed{\phantom{0^\circ}}\]
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