Formula Explanation
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.
Scientific
Dot Product Calculator
Use this dot product calculator to calculate calculate dot product and angle between two 3d vectors.
dot productvector anglevectors
Calculator
Calculate instantly
Calculator Inputs
Choose what you want to calculate, enter realistic values, adjust units where shown, and use the scenario section for repeated-use planning.
Input and Formula Breakdown
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.
A x
3
A y
4
A z
5
B x
2
B y
1
B z
6
Dot product
40
Cosine of angle
0.88
Scenario and Comparison
Current
40
Projected
480
Adjusted
44
Visual Comparison
Current result40
Projected usage480
Comparison scenario44
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Use Cases
- Find vector angle
- Analyze projections
- Study vector math
Step-by-Step Explanation
- Step 1Enter the known values in the calculator fields.
- Step 2Keep the units consistent with the labels shown beside each input.
- Step 3Apply the formula: A dot B = ax bx + ay by + az bz.
- Step 4Review the primary result and supporting values.
Example calculation
Example dot product calculator
Given
- A x: 3
- A y: 4
- A z: 5
- B x: 2
- B y: 1
- B z: 6
Steps
- Use the values shown above.
- Apply A dot B = ax bx + ay by + az bz.
Result
The calculator above shows the computed answer instantly from these example values.
Calculator guide
About this Dot Product Calculator
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.
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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.
Calculator usage
See how many people are using this calculator.
Total visits today
0
Live users now
0
Total saved calculations
0
Most active date
2026-06-05
FAQ
Dot Product Calculator FAQs
How does the dot product calculator work?+
It uses A dot B = ax bx + ay by + az bz and calculates the result from the values you enter.
Can I copy or print the result?+
Yes. AZCalculate calculator pages include copy, share, and print actions.
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