3) Find the distances: a. Between ₁ = (3 + t, −2+ 3t, -t) and 1₂ = (1 + 2t, t, 5+ 4t). b. Between the planes -2x + 5y - 3z = 2 and -2x + 5y 3z = 12. c. From the point (2, 2, 2) to the line r = (3t, -3 + t, 5 - 4t).

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...
Question
3) Find the distances:
a. Between ₁ = (3 + t, -2 + 3t, -t) and l₂ = (1 + 2t, t, 5 + 4t).
b. Between the planes -2x + 5y - 3z = 2 and -2x + 5y
3z = 12.
c. From the point (2, 2, 2) to the line r = (3t, -3 + t, 5 - 4t).
Transcribed Image Text:3) Find the distances: a. Between ₁ = (3 + t, -2 + 3t, -t) and l₂ = (1 + 2t, t, 5 + 4t). b. Between the planes -2x + 5y - 3z = 2 and -2x + 5y 3z = 12. c. From the point (2, 2, 2) to the line r = (3t, -3 + t, 5 - 4t).
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