Vectors, magitude, scalar components

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SUMMARY

The discussion centers on the comparison of three displacement vectors: A, B, and C. Vector A has scalar components Ax = 80.0 m and Ay = 60.0 m, resulting in a magnitude of 100.0 m. Vector B has a scalar component Bx = 60.0 m and a magnitude of 75.0 m. Vector C has a magnitude of 100.0 m and is directed at an angle of 36.9 degrees above the +x axis. The conclusion is that vectors A and C are equal in magnitude, both measuring 100.0 m.

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  • Understanding of vector components and magnitudes
  • Knowledge of trigonometric functions for angle calculations
  • Familiarity with vector addition and comparison
  • Basic proficiency in physics concepts related to displacement
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  • Learn how to calculate vector magnitudes from components
  • Explore trigonometric functions for angle determination in vectors
  • Investigate the properties of equal vectors in physics
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Homework Statement



the displacement vector A has scalr omponents of Ax= 80.0 m and Ay= 60.0 m. the displacement vector B has a scalr component Bx= 60.0 m and a magnitude of B=75.0m. The displacement vecto C has a magnitude of C= 100.0 m and is directed at an angle of 36.9 degrees above the + x axis. Two of these vectors are equal. determine which two, and support your choice with a calculation.

Homework Equations




The Attempt at a Solution


vector A= 100m
By= 45m
vector A= vector C
 
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So vector A and vector C have the same magnitude. Can you show they're both 36.9 degrees above the x-axis.
 

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