## FC-14 - Distance, Length, and Direction

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Learning Objectives:
• Describe several different measures of distance between two points (e.g., Euclidean, Manhattan, network distance, spherical)
• Explain how different measures of distance can be used to calculate the spatial weights matrix
• Explain why estimating the fractal dimension of a sinuous line has important implications for the measurement of its length
• Explain how fractal dimension can be used in practical applications of GIS
• Explain the differences in the calculated distance between the same two places when data used are in different projections
• Outline the implications of differences in distance calculations on real world applications of GIS, such as routing and determining boundary lengths and service areas
• Estimate the fractal dimension of a sinuous line
• Describe operations that can be performed on qualitative representations of direction
• Explain any differences in the measured direction between two places when the data are presented in a GIS in different projections
• Compute the mean of directional data
• Compare and contrast how direction is determined and stated in raster and vector data
• Define “direction” and its measurement in different angular measures