Find Unit Vector Parallel to Vector: (5,1,-3) to (2,1,1)

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Homework Help Overview

The problem involves finding a unit vector that is parallel to the vector defined by the points (5,1,-3) and (2,1,1). The context is within vector mathematics, specifically focusing on unit vectors and vector direction.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the initial step of determining the vector between the two points and the need to scale it to obtain a unit vector. There are questions about the distinction between a general vector and a unit vector, as well as confusion regarding the scaling process.

Discussion Status

Some participants have provided hints regarding the direction of the vector and the scaling process. There is an ongoing exploration of the concepts involved, with no explicit consensus reached on the solution.

Contextual Notes

One participant mentions following a textbook but still finds the material confusing. There is a reference to the magnitude of the vector and the relationship between parallel vectors, indicating that assumptions about vector properties are being examined.

mamma_mia66
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Homework Statement



Find a unit vector that is parallel to the vector from )5,1,-3) to (2,1,1)



Homework Equations





The Attempt at a Solution



I will appreciate any HINT for this problem b/c I am totally confused from the why how the question is stated. Please help.
 
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First find a vector that goes between those 2 points
 
Well, you know what the direction of the vector is, you just have to scale it correctly...
 
Well, you know what the direction of the vector is, you just have to scale it correctly...

I don't think I get this that I have to scale it correctly...
 
mamma_mia66 said:
Well, you know what the direction of the vector is, you just have to scale it correctly...

I don't think I get this that I have to scale it correctly...

What's the difference between any old vector and unit vector?
 
okay, I am following the textbook and nothings helps.

The points (5,1,-3) and (2,1,1) are the points of the vector V=<-3,0,4>

Then ||v||= 5
u= v/||v||= 1/5<-3,0,4>
Two nonzero vectors u avd v are parallel if there is some scalar c
such that
u=c.v

Am I even close with this solution? I am getting more confused.
 
That's the vector you want.
 
Thank you.
 

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