Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![### Quiz Question on Vector Mathematics
#### Question:
When finding the unit vector **u** for a given vector **v**, the first thing to do is divide **v** by **u**.
- O True
- O False
#### Explanation:
To find the unit vector **u** of a given vector **v**, you need to follow a specific procedure. The correct steps typically involve:
1. **Finding the magnitude (length) of the vector **v**:**
\[
\|v\| = \sqrt{v_1^2 + v_2^2 + ... + v_n^2}
\]
2. **Dividing each component of the vector **v** by its magnitude**:
\[
u = \frac{v}{\|v\|}
\]
Therefore, the statement in the question is **False**. You do not divide vector **v** by **u** but rather divide **v** by its own magnitude to find the unit vector **u**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdf6f4faa-bb31-4351-9b90-23a290e16aec%2F727d1d90-c734-4ef3-9913-459030d0a7f3%2Fz70l2e8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Quiz Question on Vector Mathematics
#### Question:
When finding the unit vector **u** for a given vector **v**, the first thing to do is divide **v** by **u**.
- O True
- O False
#### Explanation:
To find the unit vector **u** of a given vector **v**, you need to follow a specific procedure. The correct steps typically involve:
1. **Finding the magnitude (length) of the vector **v**:**
\[
\|v\| = \sqrt{v_1^2 + v_2^2 + ... + v_n^2}
\]
2. **Dividing each component of the vector **v** by its magnitude**:
\[
u = \frac{v}{\|v\|}
\]
Therefore, the statement in the question is **False**. You do not divide vector **v** by **u** but rather divide **v** by its own magnitude to find the unit vector **u**.
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