Understanding Tangent Vectors for Discs: Deciphering (1 -1 0)T

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The discussion focuses on understanding how the vector (1 -1 0)T relates to the tangent at point Q on a disk. Participants express confusion about whether this vector adequately represents the tangent direction. There is clarification that being parallel to a tangent vector is sufficient to describe the tangent at Q. One user reflects on their uncertainty regarding vector translation and parallelism. Overall, the conversation emphasizes the relationship between tangent vectors and their representation in vector form.
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Homework Statement



I do not understand how the vector (1 -1 0)T represents the axis tangent to the disk at Q.

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The Attempt at a Solution



Tried thinking in terms of simple vector addition, but just got another vector in the radial direction...
I mean, (1 -1 0)T is parallel to a tangent vector to Q, is that sufficient ?
 
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Hi Leb! :smile:
Leb said:
I do not understand how the vector (1 -1 0)T represents the axis tangent to the disk at Q.

Tried thinking in terms of simple vector addition, but just got another vector in the radial direction...
I mean, (1 -1 0)T is parallel to a tangent vector to Q, is that sufficient ?

I don't really understand what's worrying you. :confused:

don't "the axis tangent to the disk at Q" and "parallel to a tangent vector to Q" mean the same thing?
 
tiny-tim said:
Hi Leb! :smile:


I don't really understand what's worrying you. :confused:

don't "the axis tangent to the disk at Q" and "parallel to a tangent vector to Q" mean the same thing?

Hello tiny-tim!

Apparently I was a bit rusty with vectors and was not sure if we are free to translate to parallel vectors on top of each other, but thanks !
 
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