Finding the components of a Cartesian vector

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SUMMARY

The discussion centers on the calculation of Cartesian vector components from a given force of 750 N at an angle of 45 degrees. The user calculated the components as Fz=530.33 N, F’=530.33 N, Fx=256.165 N, and Fy=-459.28 N, resulting in the vector F=(256.165i-459.28j+530.33k) N. Despite these calculations appearing correct, the user received feedback indicating an error, suggesting a potential issue with the expected format or sign conventions. The recommendation is to consult the instructor for clarification on the submission requirements.

PREREQUISITES
  • Understanding of Cartesian coordinate systems
  • Knowledge of vector decomposition and trigonometric functions
  • Familiarity with force vectors and their components
  • Ability to interpret feedback from computational tools
NEXT STEPS
  • Review vector decomposition techniques in physics
  • Learn about the significance of sign conventions in vector calculations
  • Explore the use of computational tools for vector analysis
  • Consult academic resources on formatting requirements for vector notation
USEFUL FOR

Students in physics or engineering courses, particularly those studying vector mechanics and force analysis, as well as educators seeking to clarify vector component calculations.

JON123
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Homework Statement



Picture is attached

Homework Equations


The Attempt at a Solution



I feel like I am right and the computer is wrong, but I just wanted to check here first. I attached a picture of the problem and my answer.

This is how I solved the problem:

Fz=750sin(45)=530.33N
F’=750cos(45)=530.33N
Fx=F’cos(60)=256.165N
Fy=F’sin(60)=-459.28N

So my answer was: F=(256.165i-459.28j+530.33k)N and it says it's wrong. When i first submitted it, it said check signs, but i don't want to just guess at the signs because it takes off points for wrong answers, and i would like to know what I'm doing wrong.
 

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It looks like you calculated the components correctly. If the computer says you are wrong, maybe it expects a different format from the one you used. I think you should your instructor for clarifications.
 

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