Finding the magnitude of 2 vectors given the resultant

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SUMMARY

The discussion centers on calculating the magnitudes of two vectors, vA and vB, given their resultant velocity of 7 m/s and angles θ1 = 29.8° and θ2 = 18.3°. The problem requires applying vector addition principles to determine the individual magnitudes of the vectors. Participants emphasize the importance of a complete problem statement for effective assistance.

PREREQUISITES
  • Understanding of vector addition and resolution
  • Familiarity with trigonometric functions and their applications in physics
  • Knowledge of the law of cosines and sines
  • Ability to interpret vector diagrams
NEXT STEPS
  • Study vector resolution techniques using trigonometric identities
  • Learn how to apply the law of sines and cosines in vector problems
  • Practice problems involving resultant vectors and their components
  • Explore graphical methods for vector addition and subtraction
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Students studying physics, particularly those focusing on mechanics and vector analysis, as well as educators looking for examples of vector addition problems.

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Homework Statement


proxy.php?image=https%3A%2F%2Fwww.theexpertta.com%2Fimages%2Fq1104jzu.bxc.png

The figure depicts the sum of two velocities, vA and vB. The value of the sum is7 m/s and the angles shown in the image are θ1 = 29.8°, and θ2 = 18.3°.

Homework Equations

The Attempt at a Solution

 
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What a great diagram.

I'm sorry, did you want some help? You might want to mosey on over to the homework rules thread and take a gander. A complete problem statement would also be helpful.
 

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