Scientific
Use this dot product calculator to calculate calculate dot product and angle between two 3d vectors.
Calculator
Choose what you want to calculate, enter realistic values, adjust units where shown, and use the scenario section for repeated-use planning.
This calculator applies the formula A dot B = ax bx + ay by + az bz. Enter each value with the matching unit, and AZCalculate updates the result instantly.
Current
Projected
Adjusted
Sign in to save this calculation and access it later.
Trust note
Use this result as a practical estimate. Real-world conditions, local rules, measurement tolerance, and changing inputs can affect the final outcome.
A dot B = ax bx + ay by + az bz
This calculator applies the formula A dot B = ax bx + ay by + az bz. Enter each value with the matching unit, and AZCalculate updates the result instantly.
Assumptions
Avoid mistakes
Follow the reasoning, not only the final number.
Enter the known values in the calculator fields.
Starting with clearly defined values and units prevents the most common calculation errors.
Keep the units consistent with the labels shown beside each input.
This step transforms the known values into the form required by the formula.
Apply the formula: A dot B = ax bx + ay by + az bz.
This step transforms the known values into the form required by the formula.
Review the primary result and supporting values.
Compare the result with your real-world goal, such as find vector angle.
Worked example
Dot product: 40; Cosine of angle: 0.88
Calculator guide
Calculate dot product and angle between two 3D vectors. This page includes an interactive calculator, concise formula notes, worked examples, FAQs, related calculators, and practical guidance you can revisit whenever needed.
References
We work hard to keep every calculator accurate and useful. If you notice a calculation error, missing option, or unclear explanation, please let us know so we can review and correct it promptly.
Usage information loads after the calculator is ready.
FAQ
It uses A dot B = ax bx + ay by + az bz and calculates the result from the values you enter.
Yes. AZCalculate calculator pages include copy, share, and print actions.
Use the unit system shown by the calculator and convert values before combining them.
Scientific constants affect precision, especially in physics, chemistry, and quantum calculations.
Use it as an estimate and compare it with the formula, assumptions, and examples shown on the page.
Real-world inputs can include local rules, changing rates, measurement tolerances, and conditions outside the core formula.
Enter the known values requested by the calculator. Use the unit selectors where available and make sure the values describe the same scenario.
The calculator follows the formula shown on this page. Accuracy depends on the values, units, assumptions, and rounding used in your scenario.
Related tools
Continue with closely related tools selected from the same subject and matching calculation needs.
Calculate vector magnitude, dot product, and component sums for 3D vectors.
Calculate cross product components for two 3D vectors.
Calculate sin, cos, tan, radians, and complementary angle values.
Use a keyboard-friendly scientific calculator with trig, logs, powers, constants, and memory.
Calculate logarithms for any positive base and value.
Calculate powers and exponential values quickly.
Calculate factorial, permutations, and combinations from integer inputs.
Calculate the hypotenuse and area of a right triangle.
