Final answer:
The information provided does not contain a direct answer to the student's question about the vectors [a b c] and [x y z]. The reference material is related to quadratic equations, which does not apply to the vector problem described. Therefore, without additional context or values for a, b, and c, it is not possible to find the value of [-6c -6b 6z 6x 6y -6a].
Step-by-step explanation:
To find the value of [-6c -6b 6z 6x 6y -6a] given the equations [a b c = -10] and [x y z = -10], first we need to isolate the relevant variables. However, based on the given solutions and constant values (a, b, c) from the different equations provided, there seems to be a misunderstanding as these solutions do not directly apply to the initial query about the vectors [a b c] and [x y z]. Furthermore, there is no clear relationship or context connecting the vectors to the quadratic equations solutions given in the reference information.
The information appears to involve the quadratic formula (ax² + bx + c = 0) and the standard form for its solution ([-b ± √(b² - 4ac)] / (2a)). This would indicate that the student might be dealing with a problem involving vectors and quadratic equations. Without more context or the correct values of a, b, and c related to the vectors, we cannot calculate the given vector expression [-6c -6b 6z 6x 6y -6a]