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3D Vector Addition — result sheet
Add two three-dimensional Cartesian vectors component by component and return the summed x, y, and z values.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: A + B = (ax + bx, ay + by, az + bz).
Vector addition preserves coordinate order: add the x components, then the y components, then the z components. The result is a new three-dimensional vector in the same Cartesian basis.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Vector A x — The x component of vector A.; minimum -1000000; maximum 1000000
- Vector A y — The y component of vector A.; minimum -1000000; maximum 1000000
- Vector A z — The z component of vector A.; minimum -1000000; maximum 1000000
- Vector B x — The x component of vector B.; minimum -1000000; maximum 1000000
- Vector B y — The y component of vector B.; minimum -1000000; maximum 1000000
- Vector B z — The z component of vector B.; minimum -1000000; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Vector A x | 1 |
| Vector A y | 2 |
| Vector A z | 3 |
| Vector B x | 4 |
| Vector B y | 5 |
| Vector B z | 6 |
A + B = (5, 7, 9).
Assumptions and limits
- A and B are Cartesian 3D vectors in one common coordinate basis and compatible unit convention.
- The calculator reports the component sum only; it does not add magnitudes or interpret a physical resultant.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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