(a) Write the parametric equations of the line obtained in example 1. (b) Provide the corresponding points, (x, y, z), on the line for the values of t listed below. (The first one is done for you). • When t=-1, we get the point (x,y,z)=(2+5(-1), 3-2(-1),5-4(-1))=(-3,5,9). • When t=1 • When t-3/2
(a) Write the parametric equations of the line obtained in example 1. (b) Provide the corresponding points, (x, y, z), on the line for the values of t listed below. (The first one is done for you). • When t=-1, we get the point (x,y,z)=(2+5(-1), 3-2(-1),5-4(-1))=(-3,5,9). • When t=1 • When t-3/2
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:1. Find parametric equations of the line that passes through (2, 3, 5) and (7, 1, 1).
(7,1,1)
V
(2,3,5)
point on the line: ro = (2,3,5)
direction vector: v = (7-2, 1-3,1-5)=(5,-2,-4)
⇓
parametric equations of the line: x=2 + 5t, y = 3-2t, z = 5-4t

Transcribed Image Text:(a)
Write the parametric equations of the line obtained in example 1.
(b) Provide the corresponding points, (x, y, z), on the line for the values of t listed below. (The first one is done for you).
• When t=-1, we get the point (x,y,z)=(2+5(-1), 3-2(-1),5-4(-1))=(-3,5,9).
When t=1
When t=3/2
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