3D Vector Magnitude Calculator
Normalize a vector and find its Euclidean length.
Your inputs
Calculation results
Formula & assumptions
Length = √(x²+y²+z²); normalized components divide by length.
Values use the specified units. Calculations use floating-point arithmetic. Check input measurements and formula assumptions before applying the result.
Compare your scenarios
Save up to five results to compare changes side by side. Scenarios stay in this tab until you clear or reload it.
Using 3D Vector Magnitude Calculator
Normalize a vector and find its Euclidean length.
- Enter x component, y component, z component using the units printed under each field.
- Choose Calculate, or enable live updates. Review the result labels and formula assumptions.
- Save scenarios to compare up to five variations, then copy the report or download JSON or CSV.
Example
X component: 3 units Y component: 4 units Z component: 12 units Magnitude: 13 Normalized X: 0.23076923 Normalized Y: 0.30769231 Normalized Z: 0.92307692
Questions & answers
What does 3D Vector Magnitude Calculator calculate?
Normalize a vector and find its Euclidean length.
Which units should I enter?
X component uses units. Y component uses units. Z component uses units. Convert values to these units before calculating.
Which formula does it use?
Length = √(x²+y²+z²); normalized components divide by length.
What does the included example show?
X component: 3 units; Y component: 4 units; Z component: 12 units. Result: Magnitude = 13; Normalized X = 0.23076923; Normalized Y = 0.30769231; Normalized Z = 0.92307692.
Can I compare different settings?
Yes. Save a scenario, change the inputs and save another result. Up to five scenarios are compared in this tab; they disappear when you reload or leave.
Can I export the calculation?
Copy the JSON report or download JSON and CSV with inputs, result labels and numeric values. Processing uses local JavaScript; no calculation request is sent to our server. Displayed values use up to 10 significant digits; exports retain JavaScript numeric precision.
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