What is the dot product?

The dot product of two vectors is the sum of the products of their corresponding components: A·B = ax*bx + ay*by + az*bz.

When are two vectors orthogonal?

Two vectors are orthogonal (perpendicular) when their dot product is zero.

Enter the components of two vectors to find their dot product, the angle between them, and whether they are orthogonal. Supports 2D and 3D vectors.

Dimensions

Aₓ

Aₙ

Aᶻ (3D only)

Bₓ

Bₙ

Bᶻ (3D only)

Dot Product (A·B)

|A| (magnitude)

3.741657

|B| (magnitude)

8.774964

Angle Between

12.933154° (0.225726 rad)

Orthogonal?

Last updated: April 16, 2026

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