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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

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

Calculus: Early Transcendentals
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**.
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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