How to find t1,t2 when only given t3

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SUMMARY

The discussion focuses on determining the magnitudes of vectors T1 and T2 given that their sum, along with vector T3 (magnitude 127.4), equals zero. The angles for T1 and T2 are specified as 37 degrees northwest and 53 degrees northeast, respectively. To solve for T1 and T2, one must decompose these vectors into their components and apply vector addition principles. The angle between T1 and T2 can also be derived from the vector components.

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  • Understanding of vector decomposition
  • Familiarity with trigonometric functions (sine and cosine)
  • Knowledge of vector addition and equilibrium
  • Basic skills in solving equations involving angles and magnitudes
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This discussion is beneficial for students studying physics or engineering, particularly those focusing on vector analysis and equilibrium problems.

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Homework Statement



Determine the magnitude of vectors T1
& T2 such that the sum of all the
vectors is zero.
Use T3 = 127.4


Homework Equations





The Attempt at a Solution



I tried to plot it out and stuff but I never worked with these kinds of problems what is a good way to solve for t1 and t2 when only given the angles. t1 angle = 37 degrees north west, and t2 angle is 53 degrees north east? while t3 has no angle given just it's magnitude which is 127.4 how would I solve? for t1 and t2's magnitude using the information listed?
 
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From the given data can you find the angle between T1 and T2?
Do you know how to find the components of vector along the resultant?
 

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