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Planar Vector Projection Calculator

Online planar vector projection calculator. Projects the first vector onto the nonzero second vector.

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  1. 01

    Add your input

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planar vector projection calculator online

Use planar vector projection calculator online for ax, ay, bx, by. Projects the first vector onto the nonzero second vector. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.

How to use it

Enter ax. Set ay, bx, by. Select Calculate and check the labeled output. Copy or download the JSON result.

Options and example settings

OptionChoices / valueExample default
axMain input. Signed finite values. 3
ayOption. Signed finite values. 4
bxOption. Signed finite values. 1
byOption. Signed finite values. 0

Calculation method

projected_x = (ax*bx+ay*by)/(bx^2+by^2)*bx; projected_y = (ax*bx+ay*by)/(bx^2+by^2)*by (^ means exponentiation; trig functions ending in d use degrees).

Worked examples

Apply planar vector projection calculator to the case below, keeping the displayed units and assumptions. Projects the first vector onto the nonzero second vector.

Planar Vector Projection Calculator — worked case

Settings: ay: 4; bx: 1; by: 0

Input:

3

Calculated result for these inputs:

Output:

{
  "projected_x": 3,
  "projected_y": 0
}

Choose the right tool

Choose number theory for exact integer relationships, distribution tools for a declared random model, and geometry tools for coordinates. A density is not a probability and a statistical model does not establish a real-world outcome.

Limitations and common mistakes

  • Projects the first vector onto the nonzero second vector. Finite floating-point calculation with the displayed domain; large integer counts can lose exact precision.
  • Use the displayed unit in every field. Ratios and percentages are different inputs; percent fields use values such as 25 rather than 0.25.

Frequently asked questions

How can I use planar vector projection calculator online?

Enter ax. Set ay, bx, by. Select Calculate and check the labeled output. Copy or download the JSON result.

Where is my input processed?

The bundled tool processes input in your browser. It does not upload tool input to a conversion service. Other site plugins, analytics, advertising and browser extensions may have separate behavior.

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