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1. Determine the vector and parametric equations of the line passing through P(-2, 3, 5) and Q(−2, 4, −1). Since a vector equation of a line can be written in many ways, it is useful to be able to tell if different forms are actually equivalent.

1. Determine the vector and parametric equations of the line passing through P(-2, 3, 5) and Q(−2, 4, −1). Since a vector equation of a line can be written in many ways, it is useful to be able to tell if different forms are actually equivalent.

Calculus: Early Transcendentals
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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1. Determine the vector and parametric equations of the line passing through P(-2, 3, 5) and Q(-2, 4, -1). Since a vector equation of a line can be written in many ways, it is useful to be able to tell if different forms are actually equivalent. 2. a. Show that the following are vector equations for the same line: L₁:7 = (1, 0, 4) + s(−1, 2, 5), sɛR, and L₂:7 (4, -10, -21) + m(-2, 4, 10), MER = b. Show that the following are vector equations for different lines: L3:7 = (1, 6, 1) + (−1, 1, 2), lɛR, and L4:7 = (-3, 10, 12) + k + ^ ( 1/2 - 1/21 -1). KER kek 2'
Transcribed Image Text:1. Determine the vector and parametric equations of the line passing through P(-2, 3, 5) and Q(-2, 4, -1). Since a vector equation of a line can be written in many ways, it is useful to be able to tell if different forms are actually equivalent. 2. a. Show that the following are vector equations for the same line: L₁:7 = (1, 0, 4) + s(−1, 2, 5), sɛR, and L₂:7 (4, -10, -21) + m(-2, 4, 10), MER = b. Show that the following are vector equations for different lines: L3:7 = (1, 6, 1) + (−1, 1, 2), lɛR, and L4:7 = (-3, 10, 12) + k + ^ ( 1/2 - 1/21 -1). KER kek 2'
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