CALCULATOR
Dot Product Calculator
dot product. Example: Ax: 2 units, Ay: 2 units, Az: 2 units, Bx: 2 units, By: 2 units, Bz: 2 units gives 12 units². Exactly two 3D Cartesian vectors with matching component units; scalar dot product, no matrix or cross-product inference. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
Exactly two 3D Cartesian vectors with matching component units; scalar dot product, no matrix or cross-product inference. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Cartesian inner product sums componentwise products.
Accepted inputs: Ax: -1,000,000 to 1,000,000 units; Ay: -1,000,000 to 1,000,000 units; Az: -1,000,000 to 1,000,000 units; Bx: -1,000,000 to 1,000,000 units; By: -1,000,000 to 1,000,000 units; Bz: -1,000,000 to 1,000,000 units.
How the calculation works
dot = ax bx+ay by+az bz
Worked example
With ax 2 units, ay 2 units, az 2 units, bx 2 units, by 2 units, bz 2 units, dot product is 12 units².
Assumptions and limits
Exactly two 3D Cartesian vectors with matching component units; scalar dot product, no matrix or cross-product inference. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation. Derivation: Cartesian inner product sums componentwise products.