How to add 3 vectors of different directions together?

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SUMMARY

This discussion focuses on the method of adding vectors with different directions by decomposing them into horizontal and vertical components. The example provided includes three vectors: 3 Newtons at [East30°North], 5 Newtons [West], and 2 Newtons at [West60°South]. The process involves calculating the components using trigonometric functions, specifically F_{x} = magnitude * cos(angle) and F_{y} = magnitude * sin(angle). This approach allows for the accurate summation of vectors in a two-dimensional plane.

PREREQUISITES
  • Understanding of vector components
  • Basic knowledge of trigonometric functions (sine and cosine)
  • Familiarity with Newtons as a unit of force
  • Ability to interpret directional angles
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  • Learn how to apply trigonometric functions in vector addition
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  • Review examples of vector addition in two-dimensional motion
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CONBOSS
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For example: 3 Newtons [East30°North] + 5 Newtons [West] + 2 Newtons [West60°South]...

Thanks!

I missed the day we went over this in class so it is new to me!
 
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You need to break up each vector into horizontal and vertical components and then add those together separately.

So for example if I have a vector that is 5N 75 degree North of East, I would know that
F_{x} = 5N cos(75), F_{y} = 5N sin(75)
 

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