How to Calculate Dot Product
Calculate the dot product of two vectors.
The Formula
A·B = Σ(aᵢ × bᵢ)The dot product formula uses the mathematical relationship: A·B = Σ(aᵢ × bᵢ). Each variable in the formula represents a measurable quantity that affects the final result.
Step-by-Step Method
- 1Identify all input values needed for the dot product calculation.
- 2Substitute your known values into the formula: A·B = Σ(aᵢ × bᵢ).
- 3Perform the arithmetic operations in the correct order (PEMDAS/BODMAS).
- 4Check that your result has the correct units and is within a reasonable range.
- 5Verify using the interactive Dot Product Calculator to confirm your answer.
Related Topics
dot productvectoralgebra
Use the Interactive Calculator
Skip the manual math — get instant results with our free Dot Product calculator.