If vector A = 2i + 3j and vector B = 3i + 4j, what is the angle between them? (2023)

Practice Questions

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Q1
If vector A = 2i + 3j and vector B = 3i + 4j, what is the angle between them? (2023)
  1. 0 degrees
  2. 90 degrees
  3. 45 degrees
  4. 60 degrees

Questions & Step-by-step Solutions

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Q
Q: If vector A = 2i + 3j and vector B = 3i + 4j, what is the angle between them? (2023)
Solution: cos(θ) = (A · B) / (|A| |B|) = (2*3 + 3*4) / (√(2^2 + 3^2) * √(3^2 + 4^2)) = 0.6, θ = 53.13 degrees.
Steps: 0

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