Vector Problem: Magnitude of A+B

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SUMMARY

The discussion focuses on calculating the magnitude of the vector sum A + B using given data: angles θ1 = 37.7 degrees, θ2 = 133.7 degrees, and magnitudes A = 5.0 cm and B = 6.6 cm. The methods of vector addition discussed include the head-to-tail method, the parallelogram method, and componentwise addition. Participants emphasize the importance of understanding vector components to solve the problem effectively.

PREREQUISITES
  • Understanding of vector addition methods: head-to-tail, parallelogram, and componentwise addition.
  • Knowledge of trigonometric functions to resolve vectors into components.
  • Familiarity with degrees and radians for angle measurement.
  • Basic geometry concepts related to vector diagrams.
NEXT STEPS
  • Learn how to resolve vectors into components using sine and cosine functions.
  • Study the head-to-tail method of vector addition in detail.
  • Explore the parallelogram method for visualizing vector sums.
  • Practice problems involving vector addition with varying angles and magnitudes.
USEFUL FOR

Students studying physics, particularly those focusing on vector mechanics, as well as educators teaching vector addition methods.

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Homework Statement


With the diagram and the data answer the question: What is the magnitude of A + B?

Homework Equations


DATA: θ1 = 37.7 deg, θ2 = 133.7 deg, A = 5.0cm, B =6.6cm.

The Attempt at a Solution


I have no idea where to start
 

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What methods of vector addition have you learned? Usually 3 are taught: head-to-tail, the parallellogram method, and componentwise addition. Have you learned how to find the components of a vector?
 

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