Final answer:
The correct operation for the given horizontal and vertical components, as per the options provided, is -11 × (-8), which yields a positive result as the product of two negative numbers is positive, resulting in 88.
Step-by-step explanation:
When you have a horizontal component of -11 and a vertical component of -8, these values represent the components of a vector in a coordinate system. If you want to find the rule that relates these two components, you would normally combine them using vector addition to create the resultant vector. However, the options given seem to suggest operations that are not typical for combining vector components. Nonetheless, using provided mathematical rules of signs regarding multiplication and division, option c, which states the rule as -11 × (-8), is the correct operation to combine the two components by multiplication, which would yield a positive result due to the rule that the product of two negative numbers is positive (e.g., (-4) × (-3) = 12). In this particular instance, the result would be 88.
It is important to note that this operation does not give you the magnitude of the resultant vector, as that would be calculated using the Pythagorean theorem. Instead, it simply provides the product of the two values as per the given options.