Final answer:
The question involves vector algebra operations with three vectors. Without specific instructions, it is unclear which operations need to be performed. Additional context is required to provide a step-by-step answer.
Step-by-step explanation:
The question appears to be related to the subject of vector algebra in mathematics, primarily focusing on vector addition, subtraction, and scalar multiplication. We have three vectors given: x = 9i - j - 2k, y = -6i + 2j - k, and z = -i + 5j + 3k. The task likely requires the student to perform operations such as adding or subtracting these vectors, or perhaps working with scalar multiples of them.
The provided information seems to include a mixture of equations and vector operations that might not be directly related to the question. Some of this information may be about cross products, dot products, and vector magnitudes, which are essential concepts within the field of vector algebra. However, without more context or specific instructions, it is difficult to provide a complete step-by-step answer.
If the student requires further operations or a specific result involving these three vectors, such as finding the sum or the cross product, additional instruction would be needed to provide an accurate answer.