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Answer:
The magnitude of the resultant decreases from A+B to A-B
Explanation:
The magnitude of the resultant of two vectors is given by
where
A is the magnitude of the first vector
B is the magnitude of the second vector
is the angle between the directions of the two vectors
In the formula, A and B are constant, so the behaviour depends only on the function . The value of
are:
- 1 (maximum) when the angle is 0, so the magnitude of the resultant in this case is
- then it decreases, until it becomes 0 when the angle is 90 degrees, where the magnitude of the resultant is
- then it becomes negative, and continues to decrease, until it reaches a value of -1 when the angle is 180 degrees, and the magnitude of the resultant is