Vector Calculator

Add, subtract, and compute dot and cross products of vectors.

Vector Components

Vector A

Aₓ

A_y

A_z

Vector B

Bₓ

B_y

B_z

Enter your values above and tap Calculate to see the result.

2D Vector Diagram

Formulas

|A| = √(Aₓ²+A_y²+A_z²)
A·B = AₓBₓ+A_yB_y+A_zB_z
θ = arccos(A·B / |A||B|)
A×B = (A_yB_z−A_zB_y, A_zBₓ−AₓB_z, AₓB_y−A_yBₓ)

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Pro Tips

Results update as you type — change any field to see the effect immediately.

Check that every value uses the same unit before comparing results.

Use the copy button to paste the vector figures into a note or spreadsheet.

Nothing is sent to a server, so you can use this with private figures.