Body diagonals -- unit vector notation

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Homework Help Overview

The discussion revolves around understanding the calculation of body diagonals in a three-dimensional space using unit vector notation. Participants are examining the coordinates of vertices and the implications of zero values in vector components.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the placement of vertices and the correctness of zero values in vector components. There is an exploration of the endpoints of the diagonal and the calculation of the vector difference.

Discussion Status

The discussion is active, with participants providing insights into the vector calculations and questioning the validity of certain values. Some guidance has been offered regarding the need to express the endpoints as vectors and perform the subtraction correctly.

Contextual Notes

There is an indication of confusion regarding the coordinates of the vertices and the implications of writing zero in the vector components. Participants are navigating the constraints of the problem without a clear resolution yet.

Iron_Man_123
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Homework Statement



I'm fully convinced that the zero values make sense, yet they are wrong, can somebody please explain why is that the case

4.png


Homework Equations


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The Attempt at a Solution


Attempt in the image above
 
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(a,0,0) is the bottom, left and front vertex in the diagram, right? Where is the other end of the diagonal from there?
 
haruspex said:
(a,0,0) is the bottom, left and front vertex in the diagram, right? Where is the other end of the diagonal from there?

It's at the top right corner of the image, which has 0 x-coordinate, am i mistaken?
 
Iron_Man_123 said:
It's at the top right corner of the image, which has 0 x-coordinate, am i mistaken?
That's right. The vector along that diagonal is the difference between the endpoints, as vectors.
 
haruspex said:
That's right. The vector along that diagonal is the difference between the endpoints, as vectors.

However, I wrote zero in the i component in the answer space to part (b), does that mean the computer system is wrong and I am right?
 
Iron_Man_123 said:
However, I wrote zero in the i component in the answer space to part (b), does that mean the computer system is wrong and I am right?
No, zero is wrong. Write the vector expressions for the two endpoints of the diagonal and subtract the bottom left front one from the top right back one. No zeroes.
 

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