Adding Vectors: 28lb, 45° North-West & 15lb North

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SUMMARY

The discussion focuses on adding two vectors: a 28lb vector at a 45° angle North-West and a 15lb vector directed North. The law of cosines is utilized to compute the resultant vector. Participants confirm the accuracy of the calculations and suggest rounding the final answer to an appropriate number of significant figures. The attached PDF file contains the detailed solution for verification.

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  • Understanding of vector addition
  • Familiarity with the law of cosines
  • Basic knowledge of trigonometry
  • Ability to interpret vector diagrams
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  • Learn more about the law of cosines applications
  • Explore trigonometric functions related to vector components
  • Review significant figures and rounding rules in calculations
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Students studying physics, particularly those focusing on vector analysis and problem-solving in mechanics.

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Homework Statement



add vector of 28lb at 45 degree north-west and vector 15lb north

Homework Equations



law of cosines

The Attempt at a Solution



attached .pfd file

Please can someone verify that my Resultant vector is correct
 

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Looks good to me. (I would round off your final answer to a reasonable number of significant figures.)
 

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