Question
A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum can be: A) 0 B) 3 C) 12 D) 47 E) 50
A vector of magnitude 20 is added to a vector of magnitude 25. The magnitude of this sum can be:
A) 0
B) 3
C) 12
D) 47
E) 50
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D) 47
When adding two vectors, the magnitude of the sum is always less than or equal to the sum of the magnitudes of the individual vectors. In this case, the sum of 20 and 25 is 45, so the magnitude of the sum can be no greater than 45.
Therefore, the magnitude of this sum cannot be 0, 3, 12, or 50. The correct answer is D) 47.
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