Final answer:
The sum of the magnitudes of the vector components is the addition of their absolute values. For the vector d, this sum would be the addition of 900.0 m, 1900.0 m, and 150.0 m, totaling 2950.0 m. However, this sum is not the vector's overall magnitude, which is calculated with a different formula.
Step-by-step explanation:
The sum of the magnitudes of the vector components of a vector d refers to adding the absolute values of its individual components. For example, if a vector d is represented as d = Dxi + Dyj + Dzk, and these components are given as Dx = 900.0 m, Dy = 1900.0 m, and Dz = 150.0 m, then to find the sum of the magnitudes, you would simply add the absolute values of these components together, resulting in 900.0 m + 1900.0 m + 150.0 m = 2950.0 m. However, it is important to note that this sum does not represent the overall magnitude of the vector, which is calculated by taking the square root of the sum of the squares of the components: D = √(Dx² + Dy² + Dz²). The magnitude of the vector d is a scalar quantity representing the length of the vector in space.