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  1. 11 Ιαν 2024 · The figure below is a graph of the simple harmonic motion of a particle of string through which an harmonic transverse wave is passing (the displacement is parallel to the \(y\)-axis, and the motion is along the \(x\)-axis).

  2. Amplitude is shown in three places on the graph. First, a dashed line has been drawn from the first peak back to the y-axis, horizontal to the x-axis, and the distance from the origin to the point where the dashed line crosses the y-axis is labelled ‘amplitude’.

  3. Three-dimensional Points and Lines¶ The most basic three-dimensional plot is a line or collection of scatter plot created from sets of (x, y, z) triples. In analogy with the more common two-dimensional plots discussed earlier, these can be created using the ax.plot3D and ax.scatter3D functions.

  4. A plane wave in two or three dimensions is like a sine wave in one dimension except that crests and troughs aren’t points, but form lines (2-D) or planes (3-D) perpendicular to the direction of wave propagation. Figure 1.5 shows a plane sine wave in two dimensions.

  5. Definition. The three-dimensional rectangular coordinate system consists of three perpendicular axes: the x -axis, the y -axis, the z -axis, and an origin at the point of intersection (0) of the axes. Because each axis is a number line representing all real numbers in ℝ, the three-dimensional system is often denoted by ℝ3.

  6. Key points. If the x-axis is distance, the graph is used to work out wavelength, \ (\lambda\). If the x-axis is time, the graph is used to work out period, T. Both graphs can be used to...

  7. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

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