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

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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