SUMMARY
The dot product of two vectors A and B can indeed be negative when the angle between them is obtuse, such as 170°. In this case, the dot product yields a negative value in cm² due to the negative cosine of the angle. This indicates that the projection of vector A onto vector B occurs in the opposite direction of vector B. The magnitude of the vectors does not influence the sign of the dot product, as length is always non-negative.
PREREQUISITES
- Understanding of vector mathematics
- Knowledge of trigonometric functions, specifically cosine
- Familiarity with the concept of dot product
- Basic geometric interpretation of vector projections
NEXT STEPS
- Study the properties of dot products in vector algebra
- Explore the implications of vector projections in physics
- Learn about the geometric interpretation of angles between vectors
- Investigate the relationship between cosine values and vector orientations
USEFUL FOR
Students of mathematics, physics enthusiasts, and professionals working in fields that involve vector analysis, such as engineering and computer graphics.