Vector Labelling | Vector Mapping Services

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Homework Help Overview

The discussion revolves around understanding collinear vectors and their magnitudes in a vector mapping context. Participants are exploring the relationships between various vectors and their orientations relative to one another.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to define collinear vectors and clarify the concept of magnitude. Questions are raised about specific vectors being collinear and the relationships between their magnitudes. There is also exploration of which vectors might be parallel to a given vector.

Discussion Status

The discussion is active, with participants confirming certain statements and questioning the validity of others. Some guidance has been offered regarding the identification of collinear vectors, but there is no explicit consensus on the relationships being discussed.

Contextual Notes

Participants are working within the constraints of a vector mapping exercise, and there are references to a figure that is not visible in the text. The discussion includes assumptions about vector directions and magnitudes that are being questioned.

ttpp1124
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Homework Statement
I've begun this question. I'm not sure what a collinear vector is or how to show the exact magnitude. Also, if someone can confirm the top two, that'd be great!
Relevant Equations
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IMG_3371.jpg
 
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ttpp1124 said:
I'm not sure what a collinear vector is or how to show the exact magnitude
A vector that lies along the same line. The idea is that a vector starts in the origin and points in a particular direction. In that context, AB and DE are collinear and so are AB and ED
Also, if someone can confirm the top two, that'd be great!
I can't. But I can confirm the top one :wink:

Magnitude is length. So AB and BA have magnitude 5 cm.
 
BvU said:
A vector that lies along the same line. The idea is that a vector starts in the origin and points in a particular direction. In that context, AB and DE are collinear and so are AB and ED
I can't. But I can confirm the top one :wink:

Magnitude is length. So AB and BA have magnitude 5 cm.
So then the magnitude of BD is AE.
What could possible be the collinear vector to AD??
 
ttpp1124 said:
So then the magnitude of BD is AE
No. AE is a vector, not a magnitude (i.e. not a number, a scalar)
But the statement "The magnitude of BD is the same as the magnitude of AE" is correct. Idem AC and BF
ttpp1124 said:
What could possible be the collinear vector to AD
BvU said:
AB and DE are collinear and so are AB and ED

So you search for one or more lines parallel to AD
 
BvU said:
No. AE is a vector, not a magnitude (i.e. not a number, a scalar)
But the statement "The magnitude of BD is the same as the magnitude of AE" is correct. Idem AC and BF
So you search for one or more lines parallel to AD
So then collinear to AD would either be BE or EB
 
BE points in a different direction than AD
 
BvU said:
BE points in a different direction than AD
It has to be in the same direction. I will use EB
 
Clearly, EB also points in a different direction than AB
If EB would be collinear, so would BE !

BvU said:
So you search for one or more lines parallel to AD
Don't you see any lines at all that are parallel to AD in the figure ?
 
BvU said:
Clearly, EB also points in a different direction than AB
If EB would be collinear, so would BE !Don't you see any lines at all that are parallel to AD in the figure ?
BC and FE
 
  • #10
Correct. So, where are we now with this exercise ?
 
  • #11
I think Q b) remains
 

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