Part A Given two vectors A = 4.10i + 7.10j and B = 4.90i – 2.20j, find the scalar product of the two vectors A and B. ANSWER: A ·B = Part B Find the angle between these two vectors.

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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### Part A

**Problem Statement:**
Given two vectors 
\[
\vec{A} = 4.10\hat{i} + 7.10\hat{j} \quad \text{and} \quad \vec{B} = 4.90\hat{i} - 2.20\hat{j},
\]
find the scalar product of the two vectors \(\vec{A}\) and \(\vec{B}\).

**Answer:**

\[
\vec{A} \cdot \vec{B} = \_\_\_\_\_\_\_\_
\]

### Part B

**Problem Statement:**
Find the angle between these two vectors.

**Express your answer in degrees.**

**Answer:**

\[
\theta = \_\_\_\_\_\_\_\_ \degree
\]
Transcribed Image Text:### Part A **Problem Statement:** Given two vectors \[ \vec{A} = 4.10\hat{i} + 7.10\hat{j} \quad \text{and} \quad \vec{B} = 4.90\hat{i} - 2.20\hat{j}, \] find the scalar product of the two vectors \(\vec{A}\) and \(\vec{B}\). **Answer:** \[ \vec{A} \cdot \vec{B} = \_\_\_\_\_\_\_\_ \] ### Part B **Problem Statement:** Find the angle between these two vectors. **Express your answer in degrees.** **Answer:** \[ \theta = \_\_\_\_\_\_\_\_ \degree \]
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