Final answer:
The question seeks vectors that span the null space of a matrix. These vectors satisfy the equation Ax = 0, and the null space is composed of all such vectors, which can be expressed in component form using the Cartesian coordinate system's unit vectors.
Step-by-step explanation:
The question is asking to find an explicit description of the null space (nul a) by listing vectors that span it. The null space is composed of all vectors that when multiplied by the matrix A result in the null vector. In vector algebra, the null vector, denoted by 0, is a vector where all components are zero, which means it has no length or direction. To find vectors that span the null space, one would typically solve the homogenous equation Ax = 0 where A is a matrix and x is a vector. The solutions to this equation form the null space of A. These vectors are linearly independent and their linear combinations give all vectors in the null space. In terms of their scalar components, these vectors can be expressed using the Cartesian coordinate system's unit vectors î, ǐ, and Å. An example could be the explicit description of vectors in component form such as v = aî + bǐ + cÅ where a, b, and c are scalars representing the solution to the homogenous equation.