Unlock the power of vector mathematics with our easy-to-use Dot Product Calculator. Quickly compute the scalar product of two vectors in both 2D and 3D space, essential for physics, engineering, and geometry problems. Get accurate results instantly!
Formula:
The dot product (also known as the scalar product) of two vectors A and B is a scalar quantity.
Given two vectors:
- A = (Ax, Ay, Az)
- B = (Bx, By, Bz)
The dot product is calculated as:
A ⋅ B = AxBx + AyBy + AzBz
Alternatively, it can be defined using the magnitudes of the vectors and the angle (θ) between them:
A ⋅ B = |A| |B| cos(θ)