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Question

The resultant vector R has an angle that is determined by 

 

The image depicts a vector addition diagram, typically shown in physics or mathematics to illustrate the process of combining vectors. It features a grid with a horizontal \( x \)-axis and a vertical \( y \)-axis. Here is a detailed breakdown: 1. **Vectors:** - \( \mathbf{V_1} \) is horizontally aligned from the origin towards the right on the \( x \)-axis. - \( \mathbf{V_2} \) originates at the tip of \( \mathbf{V_1} \) and makes a diagonal upwards and to the right. - The resultant vector \( \mathbf{V_r} \) is shown as a diagonal from the origin to the endpoint of \( \mathbf{V_2} \). 2. **Components:** - \( \mathbf{V_{1x}} \) represents the horizontal component of \( \mathbf{V_1} \). - \( \mathbf{V_{2x}} \) represents the horizontal component of \( \mathbf{V_2} \), depicted along the \( x \)-axis starting from the tip of \( \mathbf{V_1} \). - \( \mathbf{V_{2y}} \) is the vertical component of \( \mathbf{V_2} \), shown as a vertical line from the tip of \( \mathbf{V_{2x}} \) up to the tip of \( \mathbf{V_2} \). 3. **Equation:** - The diagram includes an equation \( \mathbf{V_r} = \mathbf{V_1} + \mathbf{V_2} \), which denotes the vector addition. 4. **Question Label:** - Below the diagram, the text "Question 6" is displayed, indicating that it is part of a larger set of problems or exercises. This diagram effectively demonstrates how individual vector components combine to form a resultant vector using the parallelogram or triangle method of vector addition.
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Transcribed Image Text:The image depicts a vector addition diagram, typically shown in physics or mathematics to illustrate the process of combining vectors. It features a grid with a horizontal \( x \)-axis and a vertical \( y \)-axis. Here is a detailed breakdown: 1. **Vectors:** - \( \mathbf{V_1} \) is horizontally aligned from the origin towards the right on the \( x \)-axis. - \( \mathbf{V_2} \) originates at the tip of \( \mathbf{V_1} \) and makes a diagonal upwards and to the right. - The resultant vector \( \mathbf{V_r} \) is shown as a diagonal from the origin to the endpoint of \( \mathbf{V_2} \). 2. **Components:** - \( \mathbf{V_{1x}} \) represents the horizontal component of \( \mathbf{V_1} \). - \( \mathbf{V_{2x}} \) represents the horizontal component of \( \mathbf{V_2} \), depicted along the \( x \)-axis starting from the tip of \( \mathbf{V_1} \). - \( \mathbf{V_{2y}} \) is the vertical component of \( \mathbf{V_2} \), shown as a vertical line from the tip of \( \mathbf{V_{2x}} \) up to the tip of \( \mathbf{V_2} \). 3. **Equation:** - The diagram includes an equation \( \mathbf{V_r} = \mathbf{V_1} + \mathbf{V_2} \), which denotes the vector addition. 4. **Question Label:** - Below the diagram, the text "Question 6" is displayed, indicating that it is part of a larger set of problems or exercises. This diagram effectively demonstrates how individual vector components combine to form a resultant vector using the parallelogram or triangle method of vector addition.
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Step 1

Given

Two vectors  and its resultant and their components along the x and y axis

We have to find what determines the angle made by resultant vector.

 

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