The magnitudes of two vectors A and B are A = 5 units and B = 2 units. Find the largest and smallest values possible for the magnitude of the resultant vector R = A + B.?

Magnitude of vectors are given, for resultant vectors I added them but answer is not correct.

Answers (6)

dyanabel 08-10-2012
dyanabel - California State University (CA)
The largest possible magnitude of R = A + B is 7 units, found when A and B point in the same direction. The smallest magnitude of R = A + B is 3 units, found when A and B have opposite directions.
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ehaab 05-11-2012
ehaab - Aquinas College (TN)
Largest vector using the available combinations = A + B = 7 units. Smallest vector = A + (-B) = 5 - 2 = 3 units.
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