Which of the following is the parametric equation of the line through the point (1,2,3) and parallel to 2i-3j-4k? O a. x = 2+ t, y = –3+ 2t, z = -4+ 3t O b. x = 2 – t, y = –3+ 2t, z =-4+3t O c.r= (2+t)i +(-3+2t)j+(-4+ 3t)k O d.r= (1+2t)i + (2 – 3t)j + (3 – 4t)k O e. x = 1+2t, y = 2 – 3t, z = 3 – 4t

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 4ECP: Find a set of parametric equations to represent the graph of y=x2+2, using each parameter. a. t=x b....
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Which of the following is the parametric equation of the line through the point (1,2,3) and parallel to 2i-3j-4k?
O a. x = 2+t, y= -3+ 2t, z = –4+3t
O b. x = 2 – t, y = –3+ 2t, z = -4+ 3t
O c.r = (2+t)i +(-3+2t)j+(-4+3t)k
O d. r = (1+2t)i + (2 – 3t)j + (3 – 4t)k
O e. x = 1+ 2t, y = 2 – 3t, z = 3 – 4t
Transcribed Image Text:Which of the following is the parametric equation of the line through the point (1,2,3) and parallel to 2i-3j-4k? O a. x = 2+t, y= -3+ 2t, z = –4+3t O b. x = 2 – t, y = –3+ 2t, z = -4+ 3t O c.r = (2+t)i +(-3+2t)j+(-4+3t)k O d. r = (1+2t)i + (2 – 3t)j + (3 – 4t)k O e. x = 1+ 2t, y = 2 – 3t, z = 3 – 4t
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