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10 cards from this deck
Parts of a vector in horizontal and vertical directions
Rx=Rcos(θ)R_x = R \cos(\theta)Rx=Rcos(θ)
Ry=Rsin(θ)R_y = R \sin(\theta)Ry=Rsin(θ)
Resolving into components
Counter-clockwise from positive x-axis
Add all x-components, then add all y-components separately
R=Rx2+Ry2R = \sqrt{R_x^2 + R_y^2}R=Rx2+Ry2
θ=tan−1(RyRx)\theta = \tan^{-1}(\frac{R_y}{R_x})θ=tan−1(RxRy)
x-component negative, y-component positive
Both components negative
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