Graphical method to find magnitude and direction

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SUMMARY

The discussion focuses on solving vector problems using graphical methods, specifically for force vectors FA and FB. FA has a magnitude of 90.0 Newtons due east, while FB has a magnitude of 135 Newtons at 75° north of east. Participants clarify that to find the resultant vector FA - FB and FB + FA, one must draw vector diagrams and apply the cosine and sine formulas. The correct answers for the magnitudes and directions are 142 N and 67° north of east for FB + FA, and the method involves using the component method and Pythagorean theorem for accurate calculations.

PREREQUISITES
  • Understanding of vector addition and subtraction
  • Knowledge of sine and cosine functions
  • Familiarity with the Pythagorean theorem
  • Ability to draw and interpret vector diagrams
NEXT STEPS
  • Learn how to construct vector diagrams for addition and subtraction
  • Study the cosine and sine rules for non-right triangles
  • Practice using the component method for vector calculations
  • Explore the concept of dot products to find angles between vectors
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in mastering vector analysis and graphical methods in physics.

  • #31


alex.hs said:
Hi guys...
I am new to his website and i don't know if i am using the correct place to ask my question:shy:
Well the question is:
When a vector is given say A: a i^+b j^+ck^ then how to find the angle between the vector and x-axis: y- axis; z-axis
Thanq for ur time ...:smile:

Hi alex.hs! Start a new thread about your question. Make sure you include an attempt along with it! :smile:

For starters, to find angle from x axis, think about taking an unit vector along x-axis, and use the concept of dot-product.
 

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