SUMMARY
The angle between vectors AXB and A+B is definitively 90 degrees. This conclusion is based on the properties of vector cross products and vector addition. The cross product of two vectors results in a vector that is orthogonal to both, confirming that AXB is perpendicular to A+B. Therefore, the correct answer is option 1: 90 degrees.
PREREQUISITES
- Understanding of vector operations, specifically cross products and vector addition.
- Familiarity with geometric interpretations of vectors in a Cartesian coordinate system.
- Knowledge of trigonometric principles related to angles and orthogonality.
- Basic proficiency in linear algebra concepts.
NEXT STEPS
- Study vector cross product properties and their geometric implications.
- Learn about vector addition and its graphical representation.
- Explore the concept of orthogonality in linear algebra.
- Investigate applications of vectors in physics, particularly in mechanics.
USEFUL FOR
Students of mathematics, physics enthusiasts, and anyone studying linear algebra or vector calculus will benefit from this discussion.