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Determine a vector equation for each line. a) perpendicular to line 4x - 3y = 17 and through point P(-2, 4) b) parallel to the z-axis and through point P(1, 5, 10) c) parallel to [x, y, z] = [3, 3, 0] + t[3, -5, -9] with x-intercept of - 10. - d) with the same x-intercept as [x, y, z] = [3, 0, 0] + t[4, 4, 1] and the same z-intercept as [x, y, z]= [6, -2,- 3] + [3, -1, -2].

Determine a vector equation for each line. a) perpendicular to line 4x - 3y = 17 and through point P(-2, 4) b) parallel to the z-axis and through point P(1, 5, 10) c) parallel to [x, y, z] = [3, 3, 0] + t[3, -5, -9] with x-intercept of - 10. - d) with the same x-intercept as [x, y, z] = [3, 0, 0] + t[4, 4, 1] and the same z-intercept as [x, y, z]= [6, -2,- 3] + [3, -1, -2].

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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Determine a vector equation for each line. a) perpendicular to line 4x - 3y = 17 and through point P(- 2, 4) b) parallel to the z-axis and through point P(1, 5, 10) c) parallel to [x, y, z] = [3, 3, 0] + t[3, 5, 9] with x-intercept of - 10. - d) with the same x-intercept as [x, y, z] = [3, 0, 0] + t[4, 4, 1] and the same z-intercept as [x, y, z]= [6, 2, 3] + [3, -1, -2]. I
Transcribed Image Text:Determine a vector equation for each line. a) perpendicular to line 4x - 3y = 17 and through point P(- 2, 4) b) parallel to the z-axis and through point P(1, 5, 10) c) parallel to [x, y, z] = [3, 3, 0] + t[3, 5, 9] with x-intercept of - 10. - d) with the same x-intercept as [x, y, z] = [3, 0, 0] + t[4, 4, 1] and the same z-intercept as [x, y, z]= [6, 2, 3] + [3, -1, -2]. I
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