This calculator finds the angle between two vectors

*a*and*b*using the formula:**Angle between vector**= (a · b) / (|a| * |b|)

*a*and vector*b*where (a · b) is the dot product of the two vectors, |a| is the magnitude of vector

*a*, and |b| is the magnitude of vector*b*.To find the angle between two vectors, simply fill in the (x, y, z) coordinates for both vectors below and then click the “Calculate” button.

Angle between vectors: **0.80994502**

**Explanation:**

Dot product (a · b) = 49.00000

Magnitude of vector

*a*|a| = 11.04536Magnitude of vector

*b*|b| = 5.47723(a · b) / (|a| * |b|) = 49.00000 / (11.04536 * 5.47723) =

**0.80994502**