Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Construct the vector.

**Title: Constructing a Vector from Given Components** **Objective:** Learn how to construct a vector from given components using the tools provided to move and scale the vectors accordingly. **Instruction:** Construct the vector \( 0.9 \mathbf{d} + 1.5 \mathbf{c} \) having initial point \( P \). **Detailed Steps:** 1. **Identify the Given Vectors:** - \( 1.0 \mathbf{c} \) (Illustrated as a vector pointing upward to the right in red). - \( 1.0 \mathbf{d} \) (Illustrated as a vector pointing upward to the left in red). 2. **Using the Vectors:** - Locate the initial point \( P \) in your working space. - Use the provided tools to move and scale the vectors shown. **Tools Available:** - **Move Tool:** Allows you to move the vectors to adjust their positions. - **Scale Tool:** Adjusts the length of the vectors to represent scalar multiplication (i.e., scaling \( \mathbf{c} \) and \( \mathbf{d} \) by 0.9 and 1.5, respectively). - **Draw Tool:** To sketch vectors. - **Eraser Tool:** To remove any mistakes. - **Reset Tool:** Resets the workspace to the original state. - **Help Tool:** Provides additional guidance. - **Confirm Tool (Check Mark):** Confirms the final vector construction and submits the answer. **Example Diagrams:** In the provided visual aids: - The left box contains the working space with reference vectors \( 1.0 \mathbf{c} \) and \( 1.0 \mathbf{d} \). - The right box contains the tools for moving, scaling, drawing, erasing vectors, and other functionalities. **Instruction:** Using these tools: - Scale \( \mathbf{d} \) by 0.9 to get \( 0.9 \mathbf{d} \). - Scale \( \mathbf{c} \) by 1.5 to get \( 1.5 \mathbf{c} \). - Combine these two scaled vectors to construct the resultant vector \( 0.9 \mathbf{d} + 1.5 \mathbf{c} \) starting from point \( P \). Ensure that you place and scale the
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Transcribed Image Text:**Title: Constructing a Vector from Given Components** **Objective:** Learn how to construct a vector from given components using the tools provided to move and scale the vectors accordingly. **Instruction:** Construct the vector \( 0.9 \mathbf{d} + 1.5 \mathbf{c} \) having initial point \( P \). **Detailed Steps:** 1. **Identify the Given Vectors:** - \( 1.0 \mathbf{c} \) (Illustrated as a vector pointing upward to the right in red). - \( 1.0 \mathbf{d} \) (Illustrated as a vector pointing upward to the left in red). 2. **Using the Vectors:** - Locate the initial point \( P \) in your working space. - Use the provided tools to move and scale the vectors shown. **Tools Available:** - **Move Tool:** Allows you to move the vectors to adjust their positions. - **Scale Tool:** Adjusts the length of the vectors to represent scalar multiplication (i.e., scaling \( \mathbf{c} \) and \( \mathbf{d} \) by 0.9 and 1.5, respectively). - **Draw Tool:** To sketch vectors. - **Eraser Tool:** To remove any mistakes. - **Reset Tool:** Resets the workspace to the original state. - **Help Tool:** Provides additional guidance. - **Confirm Tool (Check Mark):** Confirms the final vector construction and submits the answer. **Example Diagrams:** In the provided visual aids: - The left box contains the working space with reference vectors \( 1.0 \mathbf{c} \) and \( 1.0 \mathbf{d} \). - The right box contains the tools for moving, scaling, drawing, erasing vectors, and other functionalities. **Instruction:** Using these tools: - Scale \( \mathbf{d} \) by 0.9 to get \( 0.9 \mathbf{d} \). - Scale \( \mathbf{c} \) by 1.5 to get \( 1.5 \mathbf{c} \). - Combine these two scaled vectors to construct the resultant vector \( 0.9 \mathbf{d} + 1.5 \mathbf{c} \) starting from point \( P \). Ensure that you place and scale the
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