Math calculator

Vector Subtract Calculator

Componentwise vector difference u − v. Same engine as Vector. uz/vz default to 0. Not /subtraction. Not /vector-add. Not a matrix. Not CAS. Runs locally.

Instant result

Result

—

Enter values to calculate.

Inputs—

Mode—

Formula—

Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Core assurance · all published modes

Input interpretation: Enter values to calculate.
Result: —
Verified scope: all published modes
Assurance: Core
Declared partition coverage: PASS · 10/10 declared partitions (magnitude, normalize, add, sub, dot, cross, angle, projection, triple, invalid-domain) · Matrix
Known limitations: Core CVP does not include live graph, viewport, or pointer interaction.
Model: Componentwise vector difference u − v.
Scope: Euclidean R²/R³
Verification: Engine tested · Specification checked · v1.6.1 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Core assurance · all published modes· View Manifest · CVP overview · Specification
Versions: Calculation 1.6.1 · CVP protocol 1.0.0-proposed · Evidence 2026-09-29.cross-product-hardening-iface2
Verification revision: 2026-09-29.cross-product-hardening-iface2 · 7/7 property · digest 3e840b22dc12
Legacy regression: 11/11 tests · Production surface contract 5/5
Trust layers: Verification VERIFIED · Production CURRENT · Overall CVP state: VERIFIED under CVP 1.0.0-proposed
Reference: O1 model · O2 expected_values · O2 numerical_behavior
Interfaces: PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 2/2 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
Supplemental domain review: Not performed
Named expert review: Not performed
CVP suite: 10/10 golden · 4/4 CVP boundary · 9/9 invalid · 7/7 property · 6/6 cross-interface · 2/2 cross-calculator · 5/5 CVP contract · Manifest
Specification basis: ISO 80000-2:2019 Quantities and units — Mathematics
Specification basis
Evidence: 3 legacy golden · 2 legacy boundary · legacy regression suite · 10/10 oracle-backed golden · 9/9 invalid · Artifact integrity PASS
Semantic contract: PASS

Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

Differenceu − v

Components(ux−vx, uy−vy, uz−vz)

iSame engine as /vector. Default (1, 2, 3) − (4, 5, 6) → (−3, −3, −3). Not a second engine.

How to use

Enter u and v

uz and vz are optional and default to 0. (1, 2, 3) − (4, 5, 6) = (−3, −3, −3).

Read the difference

Each component is subtracted independently. Addition stays on /calc/math/vector-add.

Example calculations

Common configurations with formula and result.

1-2-3 − 4-5-6

u = (1, 2, 3), v = (4, 5, 6)

(1−4, 2−5, 3−6)

(−3, −3, −3)

2-D

u = (3, 4, 0), v = (1, 0, 0)

(3−1, 4−0, 0)

(2, 4, 0)