Final answer:
The question involves applying principles of vector addition in Physics to determine the sum of multiple vectors given their magnitudes and directions.
Step-by-step explanation:
The subject of this question is Physics, specifically focusing on the topic of vector addition. The student is asked to determine the sum of vectors using given magnitudes and direction angles. To find the resultant vector G, which is the sum of vectors A, 2B, and -F, we need to calculate the x and y components of each vector by using the cosine and sine functions respectively, due to the given direction angles with respect to the horizontal direction. The components are then combined algebraically to find G's total x and y components, which would then be used to determine the magnitude and direction angle of G using the Pythagorean theorem and inverse trigonometric functions.