Vector Perpendicular to Two Other Vectors

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SUMMARY

The discussion focuses on finding a vector that is perpendicular to two given vectors using the dot product method. The user expresses difficulty in deriving two equations with three variables, each equating to zero, which is necessary for solving the problem. The importance of understanding both the dot product and the cross product is emphasized, with a suggestion to explore the cross product for a simpler solution. However, the user is constrained to using only the dot product for this specific homework assignment.

PREREQUISITES
  • Understanding of vector mathematics
  • Familiarity with the dot product concept
  • Knowledge of vector equations
  • Basic algebra skills for solving equations
NEXT STEPS
  • Research the properties and applications of the dot product in vector analysis
  • Learn about the cross product and its use in finding perpendicular vectors
  • Practice solving vector equations involving multiple variables
  • Explore advanced vector topics, such as vector projections and orthogonality
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Students studying vector mathematics, educators teaching vector concepts, and anyone needing to solve problems involving perpendicular vectors using the dot product.

mhz
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Homework Statement



There are two known vectors (you can make up any two, the question gives them but I don't know what they were) and I need to find a vector that is perpendicular to both of them.

Homework Equations



Dot Product

The Attempt at a Solution



Getting two equations with three variables each for the dot product equal to zero.
 
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You need to go back to your study of vectors more closely.
Besides "dot product", there is another kind of product, the "cross product". I suggest you look it up. If you still have any queries pertaining to it, then feel free to come back here.
 
Sorry I failed to mention that I can only use the Dot product to answer this. With the cross product it wouldn't take much effort at all to answer this question, the trick I'm having trouble with is doing it with the dot product.
 

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