Lemonergy · Studio block
Cross product
Calculates the three-dimensional cross product of two real vectors.
- Implementation ID
native-cross-product- Reviewed
- 2026-10-27
Behavior
a × b = [a₂b₃−a₃b₂, a₃b₁−a₁b₃, a₁b₂−a₂b₁]. The worked example connects this operation to signals in Lemonergy Studio.
Interface
| Name | Direction | Unit | Meaning |
|---|---|---|---|
in0 | input | 1 | A; real 3 array. |
in1 | input | 1 | B; real 3 array. |
out0 | output | 1 | Cross product; real 3 array. |
Parameters
No configurable parameters for this component.
Equations and rules
a × b = [a₂b₃−a₃b₂, a₃b₁−a₁b₃, a₁b₂−a₂b₁]
Worked example
Cross product — worked example
A = [1,0,0]; B = [0,1,0]. Cross product at 0 s = [0,0,1].
Open Studio example after release →| Output | Time (s) | Expected value | Unit | Absolute tolerance |
|---|---|---|---|---|
Cross productout0 | 0 | [0, 0, 1] | 1 | 1e-08 |
Explore the recorded outputs
Cross product recorded example
Cross product [1]2 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.
Read the selected signal as a table
| Time (s) | Value |
|---|
Download the recorded samples (JSON) · Open this Studio example after release
Use in a workflow
Cross product — worked example
Calculates the three-dimensional cross product of two real vectors.
- Cross product: a × b = [a₂b₃−a₃b₂, a₃b₁−a₁b₃, a₁b₂−a₂b₁]. The worked example connects this operation to signals in Lemonergy Studio.
- Use the block reference for settings and connections.
- Implementation tested locally; public release pending.
Connected concepts
Limits and interpretation
- Shapes and element types are explicit. Values must be finite; automatic reshaping and unit conversion are not performed.
Scientific and mathematical references
These sources explain the scientific and mathematical background. The behavior, interface and limits above define the Lemonergy implementation; a citation does not imply every model option in the source is implemented.
- NIST Digital Library of Mathematical Functions, §3.2 Linear Algebra
National Institute of Standards and Technology
Technical reference · Linear algebra and matrix operations; conceptual background, not software certification.
Implementation sources
This reference follows the public interface and locally verified numerical checks for an upcoming release.
Contract: Lemonergy Studio public contract · Verification record: verification-2026-10-27
docs/glossary/native-block-verification.json
This implementation and its workflow uses (JSON) · Knowledge graph (JSON-LD)