Final answer:
The student's question deals with vector products in mathematics, specifically the conditions under which the dot product and cross product of two vectors vanish. The dot product vanishing indicates orthogonality, while a vanished cross product indicates parallel vectors. However, the original problem provides insufficient information to calculate a specified product.
Step-by-step explanation:
The question seems to revolve around vector products in mathematics, particularly the dot product and cross product of vectors. Given the information provided:
- The dot product of two vectors that vanishes, which means the vectors are orthogonal or perpendicular to each other (problem 23).
- According to the reference equations, the dot product A · B is equal to Ax Bx + Ay By + Az Bz, which can be used to find the angle between two vectors.
- For the cross product, if it vanishes, the two vectors are parallel or antiparallel to each other.
As for the original product calculation provided by the student, there seems to be a typo or missing information, as the expressions are not clearly defined. In general, the dot product and cross product are two fundamental operations in vector mathematics used to find angles between vectors and the vector perpendicular to both vectors, respectively.