E= 24 3. For vectors E and F with magnitudes and direction as shown at the right, the difference vector F - E has components equal to F = 18 x component = y component =
E= 24 3. For vectors E and F with magnitudes and direction as shown at the right, the difference vector F - E has components equal to F = 18 x component = y component =
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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![### Vector Components Calculation
**Problem Statement:**
3. For vectors **E** and **F** with magnitudes and direction as shown at the right, the difference vector **F - E** has components equal to:
**x component:**
\[ \text{x component} = \] [input box]
**y component:**
\[ \text{y component} = \] [input box]
**Diagram Explanation:**
The diagram depicts two vectors, **E** and **F**:
- Vector **E** is represented as an upward arrow with a magnitude of 24 units.
- Vector **F** is represented as a leftward arrow with a magnitude of 18 units.
**Calculation:**
To find the components of the difference vector **F - E**:
1. **x-component:** Identify the horizontal component. Since **F** points left and **E** has no horizontal component:
\[ \text{x component} = -18 \]
2. **y-component:** Identify the vertical component. Since **E** points up and **F** has no vertical component:
\[ \text{y component} = -24 \]
Thus, the components of **F - E** are:
\[ \text{x component} = -18 \]
\[ \text{y component} = -24 \]
These components can be entered in the provided input boxes.
**Note:** The negative signs indicate the direction opposite to the positive direction of the axes.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6e25511-95bc-41f4-b277-6fcae3d6d537%2F23ef3570-af7b-4733-9163-d432ead36bf6%2F9bvvvpl_processed.png&w=3840&q=75)
Transcribed Image Text:### Vector Components Calculation
**Problem Statement:**
3. For vectors **E** and **F** with magnitudes and direction as shown at the right, the difference vector **F - E** has components equal to:
**x component:**
\[ \text{x component} = \] [input box]
**y component:**
\[ \text{y component} = \] [input box]
**Diagram Explanation:**
The diagram depicts two vectors, **E** and **F**:
- Vector **E** is represented as an upward arrow with a magnitude of 24 units.
- Vector **F** is represented as a leftward arrow with a magnitude of 18 units.
**Calculation:**
To find the components of the difference vector **F - E**:
1. **x-component:** Identify the horizontal component. Since **F** points left and **E** has no horizontal component:
\[ \text{x component} = -18 \]
2. **y-component:** Identify the vertical component. Since **E** points up and **F** has no vertical component:
\[ \text{y component} = -24 \]
Thus, the components of **F - E** are:
\[ \text{x component} = -18 \]
\[ \text{y component} = -24 \]
These components can be entered in the provided input boxes.
**Note:** The negative signs indicate the direction opposite to the positive direction of the axes.
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