This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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2\vec{i} - 4\vec{j} + \vec{k} $$
Hey Adaeze, good to see you again.
To find the magnitude of the resultant force, we first need to find the resultant force vector by adding the two given force vectors. Then, we calculate the magnitude of this resultant vector. The phrase "along a horizontal floor" implies that we should consider only the components of the force that are parallel to the floor (i.e., the and components) for the effective force causing motion along the floor.
Step 1: Find the resultant force vector . The two forces are given as:
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Hey Adaeze, good to see you again. To find the magnitude of the resultant force, we first need to find the resultant force vector by adding the two given force vectors.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.