Calculate the precise angle between two vectors in 2D or 3D space using the dot product formula.
Dot Product:
0
Magnitude of A:
1
Magnitude of B:
Angle in Degrees:
0°
Angle in Radians:
0 rad
The angle between two vectors is derived from the geometric definition of the dot product, which states that the dot product of two vectors is equal to the product of their magnitudes and the cosine of the angle between them.
θ = arccos((A · B) / (|A| |B|))
Suppose we have Vector A = (3, 4) and Vector B = (4, -3). To find the angle between them, follow these steps:
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