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Homework Help: Calculating magnitudes of vectors

  1. Sep 1, 2015 #1

    Vector picture.png
    1. The problem statement, all variables and given/known data

    Given the two vectors in the diagram, calculate their magnitudes if A+B-225j=0

    2. Relevant equations
    sum of x component= Acos(42)--Bcos(56)
    sum of y component= Asin(42)+Bsin(56)--225j

    3. The attempt at a solution
    Find A and B use substitution

    A= [Bcos(56)]/cos(42) from x comp.

    plug that into y comp. to solve for B

    [Bcos(56)sin(42)]/cos(42) + Bsin(56) -- 225j=0

    After solving, I got B= 168.85 and A=127.05. Does that seem correct?
  2. jcsd
  3. Sep 1, 2015 #2
    I haven't checked your arithmetic, but your setup of the equations looks correct.....except for those j's in the y component equations.

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