1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Vector addition

  1. Oct 25, 2004 #1
    Ok, my question is, if you have 2 vectors added together a+b, could the magnitude of the resultant change if u subracted a-b? say a was any magnitude at 0 degrees. and b was any magnitude say 170 degrees. if u subtracted b it would go opposite direction southeast making the resultant much larger since it makes obtuse angle right? I might be completely wrong on this.

    thank you in advance.
     
  2. jcsd
  3. Oct 26, 2004 #2

    cepheid

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Yes, a + b will certainly not give you the same vector in magnitude or in direction as a - b (in general). The magnitude of the resultant depends crucially on the angle between the vectors; draw the vector sum triangles for several cases and you will see. Can you tell me in what case (ie for what angle theta) the resultant magnitude will be the largest? Does the result make sense physically, if you consider a vector quantity, such as force? It should.

    Hint...any time you add the vectors, the resultant vector is shorter than the distance traversed in going along the "bent" path from the tail of a to the tip of b. This is analogous to the triangle inequality, right?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Vector addition
  1. Vector addition (Replies: 3)

  2. Vectors addition (Replies: 10)

Loading...