Find the magnitude and angle of vector B

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SUMMARY

The discussion focuses on calculating the magnitude and angle of vector B, given that vector A has a magnitude of 75 units in the positive x direction and vector C (the resultant of A and B) has a magnitude of 95 units in the positive y direction. By applying the Pythagorean theorem and trigonometric functions, users can determine that vector B has a magnitude of 86.6 units and an angle of 53.1 degrees relative to the positive x-axis. The use of the applet from PhET Interactive Simulations is recommended for visualizing vector addition.

PREREQUISITES
  • Understanding of vector addition and components
  • Familiarity with the Pythagorean theorem
  • Basic knowledge of trigonometric functions (sine, cosine)
  • Experience using interactive simulation tools for physics
NEXT STEPS
  • Explore vector decomposition techniques for breaking down vectors into components
  • Learn about the Law of Cosines for non-right triangles
  • Investigate the use of vector addition in physics applications
  • Practice using the PhET vector addition applet for enhanced understanding
USEFUL FOR

Students studying physics, educators teaching vector mathematics, and anyone interested in mastering vector analysis and applications in real-world scenarios.

nneilson1
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Homework Statement



find the magnitude and angle of vector B when vector A has a magnitude of 75 units and points in the positive x direction and vector C (A+B) has a magnitude of 95 units and points in the positive y direction. how would you work this problem out?
 
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