Final answer:
The fragmented question appears to involve operations with vectors and matrices, such as dot product, cross product, and vector properties like orthogonality, commonly encountered in high school algebra or pre-calculus mathematics.
Step-by-step explanation:
The question seems to be related to vector and matrix operations, such as addition and subtraction, vector cross product, and dot product, typically covered in high school level mathematics or early college courses in algebra or pre-calculus. Given the fragmented nature of the question and the inclusion of various operations, it's challenging to provide a concrete answer.
However, by examining the reference information, we're dealing with basic vector and matrix computations. For instance, C = A · B or C = A × B likely refers to either the dot product or the cross product of vectors A and B, respectively. Another example is the vector operation (AxÎ + Ayĵ + Azk) × (Bxî + Byĵ + Bzk), which is the cross product of two vectors resulting in a new vector orthogonal to the original two.
The reference to orthogonal vectors, such as 'They are orthogonal,' implies that the two vectors are perpendicular to each other. In vector calculations, this is a significant property because when the dot product of two vectors is zero, they are considered orthogonal.