Cross Product Calculator
Cross product calculator
Compute 3D vector cross product A × B and resulting magnitude.
Result
(7, 0, -14)
|A × B| = 15.65247584.
Auto
math
Flow
- Enter 3D components for vector A and B.
- Compute cross-product vector.
- Use magnitude for area and torque-style calculations.
Example
Worked example: A = (2,3,1), B = (4,-1,2)
- 1 Compute x = AyBz - AzBy.
- 2 Compute y = AzBx - AxBz.
- 3 Compute z = AxBy - AyBx and magnitude from components.
A×B = (7, 0, -14) with magnitude ≈ 15.6525.
How
- Enter 3D components for vector A and B.
- Compute cross-product vector.
- Use magnitude for area and torque-style calculations.
Avoid
- Reversing operand order, which flips sign.
- Trying to compute cross product for 2D vectors directly.
Checks
Best fit
Cross Product Calculator is built for compute 3d cross product vector and magnitude. If Cross Product Calculator does not match the input scope, compare the answer with a second method.
Input check
Match the entered values to this rule before copying the answer: A×B = (AyBz-AzBy, AzBx-AxBz, AxBy-AyBx).
Sanity check
For Cross Product Calculator, use the worked example as a quick benchmark: A×B = (7, 0, -14) with magnitude ≈ 15.6525. If the cross product calculator answer is far away, check whether an input, unit, or mode changed.
Before copying
Review this common issue first: reversing operand order, which flips sign.
FAQ
Is A×B equal to B×A?
No. Cross product is anti-commutative: B×A = -(A×B).
Can cross product be zero?
Yes, when vectors are parallel or one vector is zero.
What does magnitude represent?
It equals area of the parallelogram formed by the two vectors.
Switch
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