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Unformatted text preview: determine a line: the slope reects the direction (or tilt) of the line, and then the y-intercept distinguishes between the various parallel lines with a given slope by specifying a point which must lie on the line. A direction in 3-space cannot be determined by a single number, but it is naturally specied by a nonzero vector, so the three-dimensional analogue of the slope of a line is a direction vector v = a + b + c k to which it is parallel. 6 Then, to pick out one among all the lines parallel to v , we specify a basepoint P ( x ,y ,z ) through which the line is required to pass. 6 In general, we do not need to restrict ourselves to unit vectors; any nonzero vector will do....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.
- Fall '08