Quickly compute the dot product of two vectors using this Dot Product Calculator. Ideal for math, physics, and engineering.
A and B = vectors
· = dot (scalar) product
Sum the products of corresponding components.
| Vector A | Vector B | Dot Product |
|---|---|---|
| (1,2,3) | (4,5,6) | 32.000000 |
| (0,1,2) | (2,0,1) | 2.000000 |
| (3,4) | (5,6) | 39.000000 |
| (1,0,0) | (0,1,0) | 0.000000 |
| (2,3,4) | (1,0,1) | 6.000000 |
1. Write down the components of both vectors.
2. Multiply each pair of corresponding components.
3. Sum all the products to get the dot product.
This Dot Product Calculator automatically computes the scalar product with up to six decimal places. Useful for students, engineers, and anyone working with vectors.
• Dot product represents projection of one vector onto another.
• It is commutative: A · B = B · A.
• Zero dot product indicates orthogonal vectors.
• Widely used in physics, computer graphics, and engineering.
• Helps in calculating angles between vectors using cos θ = (A · B) / (|A||B|).