What is the Value of s for Parallel Vectors in Linear Algebra?

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Homework Help Overview

The discussion revolves around determining the value of s for which two specific linear combinations of vectors u and v are parallel. The context is within linear algebra, focusing on properties of vectors and their relationships.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss how to express the condition for two vectors to be parallel, suggesting the use of scalar multiplication. There are inquiries about the implications of the vectors being coplanar and the independence of u and v.

Discussion Status

Several participants are exploring the algebraic conditions for parallelism and expressing the problem in terms of s. There is a mix of confusion and attempts to clarify the relationships between the vectors, but no consensus has been reached on the solution.

Contextual Notes

Some participants note the linear independence of u and v, which may influence the discussion on the conditions for parallelism. There is also a mention of the original poster's frustration with the problem, indicating potential challenges in understanding the concepts involved.

byronsakic
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the vectors u and v are linearly independent. find s, if vectors (1-s)u - 2/3v and 3u +sv are parallel.

where u and v are vectors.

i am totally clueless, even my tutor couldn't solve it.
 
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How can you algebraically express that two vectors a and b are parallel?
Do that for the two vectors you are given (in function of s) and solve for s.
 
but u and v are coplanar? XD
 
Vectors a and b are parallel if there exists a scalair k such that a = kb. Apply that to the two vectors you want to be parallel, and find the s for which this holds.
 
byronsakic said:
the vectors u and v are linearly independent. find s, if vectors (1-s)u - 2/3v and 3u +sv are parallel.
where u and v are vectors.
i am totally clueless, even my tutor couldn't solve it.

You might consider getting another tutor! :)
 

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