Resultant vector

  • Thread starter erisedk
  • Start date
  • #1
374
7

Homework Statement


Three vectors A, B, C have magnitudes A=5, B=6 and C=7.
The minimum value of |A+B+C| is
*A represents magnitude, A represents the vector (magnitude and direction)

Homework Equations




The Attempt at a Solution


I got 4 because I think that the maximum possible cancellation occurring would be 7-(6+5). But it's wrong.
 

Answers and Replies

  • #2
BiGyElLoWhAt
Gold Member
1,570
116
Im not sure exactly how to approach this, i have a guess, but ill have to work on it. Im off to bed now, though. An example. Let the magnitude 6 vector point at 120 degrees. Let the 5 magnitude vector point at 60 degrees. Let the 7 vector point directly down. Whats the magnitude? Can you mathematically find a relationship between the vector components and their magnitudes?
 
  • #3
374
7
I just figured it out, but thanks anyway. The three vectors can form the sides of a triangle, so the minimum will be zero.
 
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