2. Consider the plane determined by the three points (3,−1, 2), (8, 2, 4) and (−1, −2, —3). (a) Find an equation for the plane passing through these points. (b) Find an equation of a line that is perpendicular to this plane (c) Find an equation of a line that intersects the line you gave in b.) that does not intersect the plane you gave in part a.). (d) Find the angle between the two lines you gave in part b.) and c.)
2. Consider the plane determined by the three points (3,−1, 2), (8, 2, 4) and (−1, −2, —3). (a) Find an equation for the plane passing through these points. (b) Find an equation of a line that is perpendicular to this plane (c) Find an equation of a line that intersects the line you gave in b.) that does not intersect the plane you gave in part a.). (d) Find the angle between the two lines you gave in part b.) and c.)
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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Calculus

Transcribed Image Text:2. Consider the plane determined by the three points (3,-1, 2), (8, 2, 4) and (-1, -2, -3).
(a) Find an equation for the plane passing through these points.
(b) Find an equation of a line that is perpendicular to this plane
(c) Find an equation of a line that intersects the line you gave in b.) that does not
intersect the plane you gave in part a.).
(d) Find the angle between the two lines you gave in part b.) and c.)
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