Two vectors forming right handed set?

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Homework Help Overview

The discussion revolves around the concept of "right handed set" in relation to two vectors. The original poster expresses confusion regarding the application of this term, typically associated with three vectors, and questions how to determine if two given vectors are perpendicular and whether they form a right handed set.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definition of a right handed set and its applicability to two vectors. There is mention of using the scalar triple product to check for a right handed system, though some express skepticism about this approach with only two vectors. Questions about the dimensionality of the vector space are also raised.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the problem statement and exploring the implications of using two vectors in this context. There is no explicit consensus yet, as various interpretations and approaches are being considered.

Contextual Notes

Participants note the need for the full problem statement and any accompanying diagrams to better understand the question. There is an underlying assumption that the vectors may belong to a two-dimensional vector space.

Andrew Tom
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Homework Statement
Do the two vectors form a right handed set
Relevant Equations
Vectors
I am confused by a question. I thought "right handed set" only applied to sets of three vectors. However I have been given 2 vectors and asked "check whether they are perpendicular to each other and if they form a right handed set. If they don't form a right handed set, the second vector must be multiplied by -1".
 
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Can you post the question exactly as was given to you? Please include any accompanying diagrams. Thanks.
 
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Andrew Tom said:
Homework Statement:: Do the two vectors form a right handed set
Relevant Equations:: Vectors

I am confused by a question. I thought "right handed set" only applied to sets of three vectors. However I have been given 2 vectors and asked "check whether they are perpendicular to each other and if they form a right handed set. If they don't form a right handed set, the second vector must be multiplied by -1".
to check if vectors form a right handed system, we can use the scalar triple product. Please give the full problem statement when asking for help.
 
MidgetDwarf said:
to check if vectors form a right handed system, we can use the scalar triple product. Please give the full problem statement when asking for help.
That's very difficult using only two vectors.
 
Do the vectors belong to a two-dimensional vector space?
 

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