two vectors A and B have magnitude such that A>B. We do not know the directions of the vectors. however we can say that the magnitude of the sum A+B must be between?
a) B and 2A
b)A and A+B
c) A-B and A+B
d) A-B and A
e) B and A+B
http://www.jiskha.com/display.cgi?id=1348788072
To determine the range of possible magnitudes for the sum of vectors A and B, given that A>B, let's consider the extreme cases:
1. When the vectors point in the same direction: In this case, the magnitude of the sum A+B would be the sum of their individual magnitudes, which is A+B.
2. When the vectors point in opposite directions: In this case, the magnitude of the sum A+B would be the difference between their individual magnitudes, which is A-B.
Therefore, the magnitude of the sum A+B must be between A-B (when the vectors point in opposite directions) and A+B (when the vectors point in the same direction).
Based on the given options, the correct answer would be (c) A-B and A+B.