Final answer:
To find an orthonormal basis of a plane, you need two linearly independent vectors that are perpendicular to each other.
Step-by-step explanation:
To find an orthonormal basis of a plane, you need two linearly independent vectors that are perpendicular to each other.
Let's say the plane is defined by the equation Ax + By + Cz = 0. You can find the normal vector to the plane by taking the coefficients A, B, and C and forming a vector [A, B, C].
Next, you can choose any vector that is not a scalar multiple of the normal vector as the first basis vector. To find the second basis vector, you can take the cross product of the normal vector with the first basis vector. Finally, you can normalize both vectors to get the orthonormal basis of the plane.