SOLUTION: Given two vectors with the following measurements: A = 40.0 m, S and B= 12.50 m, N. What is the magnitude and direction of the resultant vector as express by the correct number of

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Question 1196449: Given two vectors with the following measurements: A = 40.0 m, S and B= 12.50 m, N. What is the magnitude and direction of the resultant vector as express by the correct number of significant figures?
A. + 28 m B. -27.5 m C. -28 m, D. + 27.5 m
Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!
It sounds like vector A is pointing south and vector B is pointing north.

Furthermore it seems like the magnitude of A is 40 meters, and B is 12.50 meters

Because the vectors point in completely opposite directions, we subtract their magnitudes: 40.0-12.50 = 27.5

The result is made negative because the magnitude pulling south (40) is greater than the magnitude pulling north (12.5)
Think of it like vector A winning the tug-of-war.

Another way to think of it is to say -40 + 12.5 = -27.5

Answer: B. -27.5 m