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Vocabulary flashcards covering formulas and terms hinted at in the notes, focusing on dot product, vector magnitude, cosine relationships, and work.
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Cosθ = (A·B) / (|A||B|)
Formula that relates the cosine of the angle θ between two vectors A and B to their dot product and magnitudes.
Dot Product (A·B)
A scalar obtained by multiplying corresponding components of two vectors and summing the results; used to find angles and calculate work.
Vector Magnitude |A|
The length of a vector, calculated as the square root of the sum of the squares of its components.
Work: W = F·d
The work done when a force F acts through a displacement d; equal to the dot product of force and displacement vectors.
√50 (≈ 7.07)
Square root of 50; often appears when computing magnitudes such as |A| or |B|.
Angle α (cos α)
The angle between two vectors (e.g., force and displacement); its cosine determines the component of one vector along the direction of the other.