Math Calculators

Vector Dot Product Calculator

Calculate vector dot product with clear inputs, formulas, and supporting results.

Free browser-based tool • No signup required
Vector Dot Product

Vector Dot Product Calculator

Dot product
Magnitude of A
Magnitude of B
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • Vector A x — example: 2
  • Vector A y — example: 4
  • Vector A z — example: 1
  • Vector B x — example: 5
  • Vector B y — example: -1
  • Vector B z — example: 3

Results

  • Dot product
  • Magnitude of A
  • Magnitude of B

Formula used

A · B = AₓBₓ + AᵧBᵧ + A_zB_z.

How to Use the Vector Dot Product Calculator

Enter the requested values, check the units and assumptions, then select Calculate Vector Dot Product. The built-in defaults provide a complete working example.

Formula

A · B = AₓBₓ + AᵧBᵧ + A_zB_z.

Understanding the Results

The primary answer appears first. Supporting outputs show related quantities, conversions, dates, costs, ratios, or intermediate values. Calculations keep additional precision before display rounding.

Accuracy Tips

  • Use measured values and consistent units.
  • Review assumptions, waste rates, fees, timing, and efficiency inputs.
  • Recalculate after changing any project condition.

Important Note

This tool provides an informational estimate. Confirm critical financial, medical, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology