Angle Between Two Vectors Formula

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Formula

A quantity with both magnitude and direction is called as the vector. The below formula is used to find the angle between two vectors. Angle between vectors can be calculated with different formulas. This formula uses the arc cosine to find the angle that is formed between the two vectors.

Formula:

r = arccos ( ( a * x ) + ( b * y ) + ( c * z ) ) / ( √( a² + b² + c²) * √( x² + y² + z²) )

Where,
r = Angle Between Two vectors
a = i₁ Co-efficient
b = j₁ Co-efficient
c = k₁ Co-efficient
x = i₂ Co-efficient
y = j₂ Co-efficient
z = k₂ Co-efficient