Vector Operations Calculator

Calculate dot product, cross product, and angle between vectors. Find projections and unit vectors.

Operation

Vector A

Vector B

Vector Visualization

Dot Product (A · B)

A · B

12.9332°

Angle

3.741657

|A|

8.774964

|B|

Cross Product (A × B)

(-3, 6, -3)

Result Vector

7.348469

Magnitude

3.674235

Triangle Area

A · B = |A||B|cos(θ) = a₁b₁ + a₂b₂ + a₃b₃

|A × B| = |A||B|sin(θ)

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