Two vectors A and B are added together using th... - SS2 Physics Mechanics - Motion in a Plane Question
Two vectors A and B are added together using the head-to-tail method. If the magnitude of vector A is 5 units and the magnitude of vector B is 8 units, what is the range of possible magnitudes for the resultant vector?
A
3 to 13 units
B
5 to 13 units
C
8 to 13 units
D
13 units
correct option: b
Explanation: When adding vectors using the head-to-tail method, the resultant vector has a magnitude that ranges from the difference of the magnitudes of the two vectors to the sum of their magnitudes. In this case, the magnitude of vector A is 5 units and the magnitude of vector B is 8 units. Therefore, the range of possible magnitudes for the resultant vector is from 5 + 8 = 13 units to 8 - 5 = 3 units. So, the correct answer is option b) 5 to 13 units.
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