Chapter 2: Space Curves
Section 2.1: Position-Vector Representation
For θ∈0,4 π, graph the plane curve defined parametrically by xθ=θ cosθ−sinθ, yθ=θ sinθ+cosθ. On the graph, indicate the points where θ=0,π, and 3 π.
Tools≻Load Package: Student Vector Calculus
Apply the PositionVector command to define the given curve as the position vector R.
Press the Enter key.
R≔PositionVectorθ cosθ−sinθ,θ sinθ+cosθ
Apply the PlotPositionVector command to graph the curve defined as the position vector R.
PlotPositionVectorR,θ=0..4 π,points=0,π,3 π,curveoptions=labels=x,y,scaling=constrained
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