b = (-1,3) and 7 = (-11, –2). What is č + b in component form? Enter your answer by filling in the boxes. č +b =
b = (-1,3) and 7 = (-11, –2). What is č + b in component form? Enter your answer by filling in the boxes. č +b =
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
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### Vector Addition in Component Form
Given the vectors:
\[ \mathbf{b} = \langle -1, 3 \rangle \quad \text{and} \quad \mathbf{c} = \langle -11, -2 \rangle \]
To find the vector sum \(\mathbf{c} + \mathbf{b}\) in component form, follow these steps:
1. **Add the corresponding components:**
- For the first component:
\[ -11 + (-1) \]
- For the second component:
\[ -2 + 3 \]
2. **Compute the sums:**
- First component: \[ -11 + (-1) = -12 \]
- Second component: \[ -2 + 3 = 1 \]
So, \(\mathbf{c} + \mathbf{b} = \langle -12, 1 \rangle \).
### Enter your answer by filling in the boxes:
\[ \mathbf{c} + \mathbf{b} = \left\langle \boxed{-12}, \boxed{1} \right\rangle \]
This process illustrates the basic principles of vector addition in a two-dimensional space by adding their respective components.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd304385-4516-4411-8f22-245e9ceeb23c%2Fb4a180db-295f-4c12-bd32-ad1a306d77ec%2Ffpe8gfk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:---
### Vector Addition in Component Form
Given the vectors:
\[ \mathbf{b} = \langle -1, 3 \rangle \quad \text{and} \quad \mathbf{c} = \langle -11, -2 \rangle \]
To find the vector sum \(\mathbf{c} + \mathbf{b}\) in component form, follow these steps:
1. **Add the corresponding components:**
- For the first component:
\[ -11 + (-1) \]
- For the second component:
\[ -2 + 3 \]
2. **Compute the sums:**
- First component: \[ -11 + (-1) = -12 \]
- Second component: \[ -2 + 3 = 1 \]
So, \(\mathbf{c} + \mathbf{b} = \langle -12, 1 \rangle \).
### Enter your answer by filling in the boxes:
\[ \mathbf{c} + \mathbf{b} = \left\langle \boxed{-12}, \boxed{1} \right\rangle \]
This process illustrates the basic principles of vector addition in a two-dimensional space by adding their respective components.
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