What Is a FREE Cross Product Calculator?
A FREE Cross Product Calculator is an online math tool that calculates the cross product of two vectors. It is commonly used in vector mathematics, geometry, physics, engineering, and linear algebra.
For two 3D vectors: A=(Ax,Ay,Az)\mathbf{A}=(A_x,A_y,A_z)
and B=(Bx,By,Bz)\mathbf{B}=(B_x,B_y,B_z)
the cross product is calculated as: A×B=(AyBz−AzBy, AzBx−AxBz, AxBy−AyBx)\mathbf{A}\times\mathbf{B} = (A_yB_z-A_zB_y,\; A_zB_x-A_xB_z,\; A_xB_y-A_yB_x)
Example
Suppose: A=(1,2,3)A=(1,2,3) B=(4,5,6)B=(4,5,6)
The cross product is: A×B=(−3,6,−3)A\times B=(-3,6,-3)
The resulting vector is perpendicular to both original vectors.
What Can a Cross Product Calculator Do?
A free calculator can help you:
- Calculate the cross product of two 3D vectors
- Enter vector x, y, and z components
- Quickly perform the required multiplication and subtraction
- Show the resulting vector
- Reduce manual calculation errors
- Help with physics and engineering problems
- Understand vector direction and perpendicularity
Why Is the Cross Product Useful?
The cross product is particularly useful for finding a vector that is perpendicular to two other vectors. In physics, it can also be used in calculations involving torque, angular momentum, and magnetic forces.
In simple terms: a Cross Product Calculator takes two vectors and determines the new vector that is perpendicular to both.
Explore the cross product
