Dot Product Calculator

Find the dot product of two 2D vectors.

Dot product 10

Angle between (°) 26.565

Formula: A·B = aₓbₓ + a_yb_y

Step-by-step with your numbers:

1. Values used:

2. Vector A — x = 3

3. Vector A — y = 4

4. Vector B — x = 2

5. Vector B — y = 1

7. Dot product = 10

8. Angle between = 26.565°

Did we solve your problem today?

The dot product measures how much two vectors point the same way.

The math behind it

A·B = aₓ·bₓ + a_y·b_y. It also equals |A||B|cos(θ), giving the angle between them.

(3,4)·(2,1) = 10.

Zero dot product?

The vectors are perpendicular (90°).