The maximum and minimum possible resultant magnitudes of two vectors are 17 and 7. Find the magnitudes of the two vectors.
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Question

The maximum and minimum possible resultant magnitudes of two vectors are 17 and 7. Find the magnitudes of the two vectors.

G1 Physics · Accepted Answer

Let A>B. Then A+B=17 and A−B=7. Solving gives A=12, B=5.