Géométrie
Angle Between Vectors Calculator
Easily calculate the angle between two vectors with our online tool. Visualize vectors and understand the formula behind the calculation. Perfect for students and professionals.
A =
B =
Angle between vectors: degrees
The formula to calculate the angle θ between two vectors A and B is given by:
Vector Visualization
Understanding Angle Between Vectors
In mathematics, especially in linear algebra and geometry, the angle between two vectors is a fundamental concept. It quantifies the 'rotational separation' between two vectors. This tool calculates this angle in degrees using the dot product formula.
Formula Explained:
- \( A \cdot B \) is the dot product of vectors A and B.
- \( \|A\| \) and \( \|B\| \) are the magnitudes (or norms) of vectors A and B, respectively.
- \( \arccos \) is the inverse cosine function, which gives the angle in radians, converted to degrees in our tool.
This calculator is useful in various fields such as physics, engineering, computer graphics, and more, wherever vector analysis is applied. Simply input your vectors in array format (e.g., [1, 2] for a 2D vector or [1, 2, 3] for 3D) and get instant results and visualization.