Final answer:
To express a force of 750 N as a Cartesian vector, the scale from the provided examples must be used, and the vector's magnitude would be drawn accordingly. Without a specified direction, the Cartesian coordinates for the vector cannot be precisely given.
Step-by-step explanation:
To express the force as a Cartesian vector of 750 N, understanding the concept of vectors in physics is essential. Vectors have both magnitude and direction, which allows them to be represented in Cartesian coordinates (x, y, z). However, as the question doesn't specify the direction of the 750 N force, we'll need to refer to the examples provided. Each example uses a certain scale where 1 cm corresponds to a different number of newtons, indicating that these are representations of forces in a one-dimensional system.
For instance, if a resultant vector measures 0.75 cm and is equivalent to 15 N pointing left, we have a scale where 1 cm = 20 N (because 0.75 cm * 20 N/cm = 15 N).
Given this scale, to express a force of 750 N on this system, we would draw a vector with a length in the correct direction that corresponds to this magnitude using the scale. If 1 cm = 20 N, a force of 750 N would be represented by a vector 37.5 cm long (because 750 N / 20 N/cm = 37.5 cm). However, without the direction, we cannot determine the exact Cartesian coordinates.