Finding the Angle Between Two Vectors with Equal Magnitudes

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SUMMARY

The discussion focuses on determining the angle between two vectors, A and B, both with equal magnitudes of 10.0 units, given that their vector sum is 3.13j. The solution approach involves visualizing the vectors as forming an isosceles triangle, leading to the conclusion that the angle between A and B is 45 degrees. The key takeaway is that the geometric representation of vector addition is crucial for solving such problems.

PREREQUISITES
  • Understanding of vector addition and geometric representation
  • Familiarity with isosceles triangles in the context of vectors
  • Basic knowledge of trigonometric principles
  • Ability to interpret vector components in Cartesian coordinates
NEXT STEPS
  • Study vector addition techniques in physics
  • Learn about the Law of Cosines for calculating angles between vectors
  • Explore graphical methods for vector representation and addition
  • Review trigonometric identities related to angles in triangles
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Students studying physics or mathematics, particularly those focusing on vector analysis and geometric interpretations of vector operations.

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Homework Statement



Vectors A and B have equal magnitudes of 10.0. If the sum of A and B is the vector 3.13j , determine the angle between A and B

Homework Equations



none

The Attempt at a Solution



I gave both A and B the length r=10
I don't know how to add them together if I don't know them.
Please tell me where to start
 
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When you add two vectors you place the second on the tip of the first the addition is then the vector from the base of the first to the tip of the second. If you draw it out it's a triangle and since A and B have equal lengths then it's an isosolese? triangle.
 
jedishrfu said:
When you add two vectors you place the second on the tip of the first the addition is then the vector from the base of the first to the tip of the second. If you draw it out it's a triangle and since A and B have equal lengths then it's an isosolese? triangle.
okay, which would make the angle 45 degrees?
 

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