Finding ez: Solving a 3D Vector Equation

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Homework Help Overview

The problem involves finding the value of ez in the context of a 3D vector equation where the vector e is expressed as e = 1/3i + 2/3j + ezk. The discussion centers around the properties of unit vectors.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of a unit vector and question whether the vector e is intended to be a unit vector. There is also a request for clarification on the source of the problem and any additional details that may be relevant.

Discussion Status

The discussion is ongoing, with some participants providing insights into the nature of unit vectors and the implications of the vector's magnitude. There is an acknowledgment of the need for further clarification regarding the problem's context.

Contextual Notes

Participants note the absence of a textbook reference and the potential omission of key details in the problem statement. There is a focus on understanding the concept of a unit vector and its significance in solving the problem.

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Homework Statement


Find the value of ez if e = 1/3i + 2/3j + ezk

Homework Equations


Any help?

The Attempt at a Solution


Have no idea where to start
 
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Can you tell us anything about this equation? What textbook are you using?
 
Im currently studying for an exam and I found this in past papers. I am using no book atm.
 
My only guess is that e is supposed to be a unit vector. Any idea if that is right? If not, is it possible for you to upload an image of the question? You might be omitting a key detail which you do not realize is important.
 
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This is the exact question :" The vector e=1/3i+2/3j+ezk is a unit vector. Find ez?"
The possible answers are 0,1,1/3 and 2/3
 
hubluh said:
This is the exact question :" The vector e=1/3i+2/3j+ezk is a unit vector. Find ez?"
The possible answers are 0,1,1/3 and 2/3

Do you know what a unit vector is?
 
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hubluh said:
This is the exact question :" The vector e=1/3i+2/3j+ezk is a unit vector. Find ez?"
The possible answers are 0,1,1/3 and 2/3
Do you know what it means for a vector to have a unit length (i.e. to be a unit vector)?
 
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Ahh I get you know. It has a magnitude of 1.
Thanks so much
 

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