# Answer to Question #15946 in Mechanics | Relativity for raul castro

Question #15946

two vectors each have magnitudes of 18 and 5. what is the minimum and maximum value the resultant of these two vectors can have?

Expert's answer

The maximum resultant can be obtained if the given vectors are directed equally. Then the magnitude of this resultant is

Max = 18 + 5 = 23.

The minimum resultant can be obtained if the given vectors have opposite directions. Then the magnitude of this resultant is

Min = 18 - 5 = 13.

Max = 18 + 5 = 23.

The minimum resultant can be obtained if the given vectors have opposite directions. Then the magnitude of this resultant is

Min = 18 - 5 = 13.

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