Final answer:
To determine the magnitudes of the projected components, we use the relationships between the components and apply the Pythagorean theorem.
Step-by-step explanation:
To determine the magnitudes of the projected components, we first need to know the magnitudes of the vector components and their directions. The magnitudes of the components are found using the analytical method by applying the Pythagorean theorem.
Let's say we have a vector with components Ax and Ay. The magnitude A of the vector can be found using the equation A = sqrt(Ax^2 + Ay^2).
In summary, to find the magnitude A and direction of a vector, we use the relationships between the components and apply the Pythagorean theorem.