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Are the magnitude and direction of overs...

Are the magnitude and direction of `overset(rarr) A- overset(rarr)B` same as that `overset(rarr)B-overset(rarr)A`?

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To determine whether the magnitude and direction of \(\overset{\rarr}{A} - \overset{\rarr}{B}\) are the same as \(\overset{\rarr}{B} - \overset{\rarr}{A}\), we can analyze the properties of vector subtraction. ### Step-by-Step Solution: 1. **Understanding Vector Subtraction**: Vector subtraction can be expressed in terms of addition. Specifically, \(\overset{\rarr}{A} - \overset{\rarr}{B}\) can be rewritten as \(\overset{\rarr}{A} + (-\overset{\rarr}{B})\), where \(-\overset{\rarr}{B}\) is the vector \(\overset{\rarr}{B}\) in the opposite direction. 2. **Expressing Both Vectors**: ...
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