15 ---**HW 02: 1D Kinematics and Vectors**### Item 15Figure 1 shows vectors \(\vec{A}\) and \(\vec{B}\). Find \(\vec{D} = 3.50 \vec{A} + \vec{B}\).For help with math skills, you may want to review: [Vector Addition](link-to-resource).#### Figure(A visual representation of vectors \(\vec{A}\) and \(\vec{B}\) is provided.)- Vector \(\vec{A}\) is positioned at an angle of 15° from the y-axis, oriented 2 meters from the origin along a direction making 15° with the negative x-axis.- Vector \(\vec{B}\) is positioned at an angle of 15° from the x-axis, oriented 4 meters from the origin along a direction making 15° with the positive x-axis.#### Part AExpress \(\vec{D}\) in the form \(D_x, D_y\), where the \(x\) and \(y\) components are separated by a comma.View Available Hint(s)**\[ D_x, D_y = \ \]**m, m**[Submit](#)[Provide Feedback](#)---**© 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us****Pearson**---Explanation of Graphs/Diagrams:The diagram shows a Cartesian coordinate system with the x and y axes. Vector \(\vec{A}\) is represented as a 2-meter long vector making a 15° angle with the y-axis. Similarly, vector \(\vec{B}\) is represented as a 4-meter long vector making a 15° angle with the x-axis.

Answered: Image /qna-images/answer/3a6bd369-dd00-44a0-a15f-0df33cb6da64.jpg

(Figure 1) shows vectors A and B. Find D=3.50A+B. For help with math skills, you may want to review: Vector Addition Figure 15° 2 m 15° 4 m 1 of 1 ·x TRO B Y Part A Express D in the form D₂, Dy, where the z and y components are separated by a comma. ▸ View Available Hint(s) Dz. Dy = Submit Provide Feedback 哈 ΑΣΦ DHC ? m, m

(Figure 1) shows vectors A and B. Find D=3.50A+B. For help with math skills, you may want to review: Vector Addition Figure 15° 2 m 15° 4 m 1 of 1 ·x TRO B Y Part A Express D in the form D₂, Dy, where the z and y components are separated by a comma. ▸ View Available Hint(s) Dz. Dy = Submit Provide Feedback 哈 ΑΣΦ DHC ? m, m

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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Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

---

**HW 02: 1D Kinematics and Vectors**

### Item 15

Figure 1 shows vectors \(\vec{A}\) and \(\vec{B}\). Find \(\vec{D} = 3.50 \vec{A} + \vec{B}\).

For help with math skills, you may want to review: [Vector Addition](link-to-resource).

#### Figure
(A visual representation of vectors \(\vec{A}\) and \(\vec{B}\) is provided.)

- Vector \(\vec{A}\) is positioned at an angle of 15° from the y-axis, oriented 2 meters from the origin along a direction making 15° with the negative x-axis.
- Vector \(\vec{B}\) is positioned at an angle of 15° from the x-axis, oriented 4 meters from the origin along a direction making 15° with the positive x-axis.

#### Part A

Express \(\vec{D}\) in the form \(D_x, D_y\), where the \(x\) and \(y\) components are separated by a comma.

View Available Hint(s)

**\[ D_x, D_y = \ \]

**m, m**

[Submit](#)

[Provide Feedback](#)

---

**© 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us**

**Pearson**

---

Explanation of Graphs/Diagrams:
The diagram shows a Cartesian coordinate system with the x and y axes. Vector \(\vec{A}\) is represented as a 2-meter long vector making a 15° angle with the y-axis. Similarly, vector \(\vec{B}\) is represented as a 4-meter long vector making a 15° angle with the x-axis.

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