SUMMARY
The discussion centers on the confusion regarding the concept of a "right handed set" in relation to two vectors. It is established that a right handed set typically involves three vectors, but the question posed requires checking if two vectors are perpendicular and whether they can form a right handed system. The scalar triple product is identified as a method to determine the orientation of vectors, although its application with only two vectors is noted as challenging. The suggestion is made that if the vectors do not form a right handed set, the second vector should be multiplied by -1.
PREREQUISITES
- Understanding of vector mathematics
- Knowledge of scalar triple product
- Familiarity with vector perpendicularity
- Concept of right handed coordinate systems
NEXT STEPS
- Research the properties of scalar triple product in vector analysis
- Learn about vector spaces and their dimensions
- Study the conditions for vectors to be perpendicular
- Explore the implications of multiplying vectors by -1 in vector orientation
USEFUL FOR
Students studying vector mathematics, educators teaching geometry and linear algebra, and anyone interested in understanding vector orientations and their applications in physics and engineering.