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

We will first shrink the vector 1.0d to get 0.9d And we stretch the vector 1.0c to get 1.5c Then we…

Answered: Construct the vector 0.9 d+1.5c having…

Construct the vector 0.9 d+1.5c having initial point P. (Use the tools provided to move and scale the given vectors; then don't for

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

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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