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The magnitudes of two vectors vector A and vector B are 20 units and 5 units, respectively. What are the largest and smallest possible values for the magnitude of the resultant vector vector R = vector A + vector B ?

largest:? units
Smallest:? units

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3 answers
  1. The largest value of A+B is when they act in the same direction, and the resultant is the sum of the magnitudes.
    The smallest value of A+B is when they act in opposite directions, and the resultant is the difference of the magnitudes.

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  2. 25 for smallest

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  3. 25 largest and 15 for smallest

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