The angle between two vectors is the measure of the smallest angle between the two vectors when they are placed tail-to-tail.
The angle between two vectors can be calculated using the dot product formula: θ = cos⁻¹ (a · b / |a||b|), where a and b are the two vectors and |a| and |b| are their magnitudes.
No, the angle between two vectors cannot be greater than 180 degrees. The angle between two vectors is always between 0 and 180 degrees.
The sign of the angle between two vectors indicates the direction of rotation needed to align one vector with the other. A positive angle indicates a counterclockwise rotation, while a negative angle indicates a clockwise rotation.
Yes, the angle between two vectors can be negative. This indicates a clockwise rotation needed to align one vector with the other.