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Line of Intersection of Two Planes Calculator

Result

Calculated result 24 Based on the values entered.
↗ Math

Line of Intersection of Two Planes Calculator The Line of Intersection of Two Planes Calculator finds the direction vector of the line where two planes meet, using the cross product of their normal vectors. Enter each plane's normal (a, b, c). — free online calculator.

Formula

Direction = n₁ × n₂ (cross product of the two plane normals)
  • Line of Intersection of Two Planes Calculator calculates its result from Cross Product Of The Two Plane Normals, N1, N2. It uses the formula Direction = n₁ × n₂ (cross product of the two plane normals). Change any input to recalculate the result instantly.
  • The main inputs are Cross Product Of The Two Plane Normals, N1, N2. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Line of Intersection of Two Planes

Inputs
  • Cross Product Of The Two Plane Normals: 2
  • N1: 3
  • N2: 4

Using Cross Product Of The Two Plane Normals = 2, N1 = 3, N2 = 4, the calculated result is 24.

Sample result: Calculating…

Frequently asked questions

What does the Line of Intersection of Two Planes calculate?

Line of Intersection of Two Planes Calculator The Line of Intersection of Two Planes Calculator finds the direction vector of the line where two planes meet, using the cross product of their normal vectors. Enter each plane's normal (a, b, c). — free online calculator.

Which values should I enter?

Enter Cross Product Of The Two Plane Normals, N1, N2 using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Direction = n₁ × n₂ (cross product of the two plane normals).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026