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A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line with the following parametric equation x = x₁ + at y = y₁ + bt z = z₁ + ct is x = (x₁ - x0) + at y = (y₁ - yo) + bt tER z = (z₁-zo) + ct x = 10 + at y=yo+bt z = 20 + ct tER x= 10 + (₁-xo)t y = yo + (y1 - yo)t z = 20 +(21-zo)t 1 x = 10 + (yoc - zob)t y=yo+(zoa z = zo + (xob - yo a)t tER - xoc)t te R H= (0-₁) + at y = (30-3₁) + bt (20-21) + ct 2= tER tER

A parametric equation of a line in R³ through the point (ro, yo, Zo) and parallel to another line with the following parametric equation x = x₁ + at y = y₁ + bt z = z₁ + ct is x = (x₁ - x0) + at y = (y₁ - yo) + bt tER z = (z₁-zo) + ct x = 10 + at y=yo+bt z = 20 + ct tER x= 10 + (₁-xo)t y = yo + (y1 - yo)t z = 20 +(21-zo)t 1 x = 10 + (yoc - zob)t y=yo+(zoa z = zo + (xob - yo a)t tER - xoc)t te R H= (0-₁) + at y = (30-3₁) + bt (20-21) + ct 2= tER tER

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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A parametric equation of a line in R3 through the point (zo, yo, zo) and parallel to another line with the following parametric equation x = x₁ + at y = y₁ + bt z = 2₁ + ct is 0 x= = (x₁ - x0) + at y = (y₁ - yo) + bt Z= = (2₁-zo) + ct x = x₁ + at y=yo+bt z = 20 + ct tER x = x₁ + (x₁ -xo)t y = yo + (y₁ - yo)t te R z = 20 + (21 - 2o)t tER x= xo + (yoc - zob)t y=yo+ (zoa - xoc)t te R 2= 20 + (zob - yo a)t H= = (xo-x₁) + at y = (30-3₁) + bt z = (20 - 2₁) + ct tER tER
Transcribed Image Text:A parametric equation of a line in R3 through the point (zo, yo, zo) and parallel to another line with the following parametric equation x = x₁ + at y = y₁ + bt z = 2₁ + ct is 0 x= = (x₁ - x0) + at y = (y₁ - yo) + bt Z= = (2₁-zo) + ct x = x₁ + at y=yo+bt z = 20 + ct tER x = x₁ + (x₁ -xo)t y = yo + (y₁ - yo)t te R z = 20 + (21 - 2o)t tER x= xo + (yoc - zob)t y=yo+ (zoa - xoc)t te R 2= 20 + (zob - yo a)t H= = (xo-x₁) + at y = (30-3₁) + bt z = (20 - 2₁) + ct tER tER
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