A·B=|A||B|cosθThe dot product connects vector components to the angle between vectors.
Find magnitude, dot product and angle between two 3D vectors.
Vector calculator — Find magnitude, dot product and angle between two 3D vectors.
Useful for practice, understanding the method, and checking homework steps where outside tools are allowed.
Use the result for practice and understanding, not as a guaranteed answer. Verify important calculations and follow your school, university, and academic-integrity rules.
A·B=|A||B|cosθThe dot product connects vector components to the angle between vectors.
Use the starting values, then change one input to see its effect.After calculating, the tool shows the values used and the working so you can check it.