15. Determine the vector, parametric, and Cartesian equations of each of the following planes: a. passing through the points P(1, 2, 5) and Q(3, 1, 2) and parallel to the line with equation L:7 = 2 + (41 + 3) + (1 + 1)k, teR b. containing the point A(1, 1, 2) and perpendicular to the line joining the points B(2, 1, -6) and C(-2, 1, 5) c. passing through the points (4, 1, -1) and (5, -2, 4) and parallel to the c-axis d. passing through the points (1, 3, 5), (2, 6, 4), and (3, -3, 3) T

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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15. Determine the vector, parametric, and Cartesian equations of each of the
following planes:
a. passing through the points P(1, 2, 5) and Q(3, 1, 2) and parallel to the
line with equation L:7 = 2 + (41 + 3) + (1 + 1)k, teR
b. containing the point A(1, 1, 2) and perpendicular to the line joining the
points B(2, 1, -6) and C(-2, 1, 5)
c. passing through the points (4, 1, -1) and (5, -2, 4) and parallel to the
c-axis
d. passing through the points (1, 3, 5), (2, 6, 4), and (3, -3, 3)
T
Transcribed Image Text:15. Determine the vector, parametric, and Cartesian equations of each of the following planes: a. passing through the points P(1, 2, 5) and Q(3, 1, 2) and parallel to the line with equation L:7 = 2 + (41 + 3) + (1 + 1)k, teR b. containing the point A(1, 1, 2) and perpendicular to the line joining the points B(2, 1, -6) and C(-2, 1, 5) c. passing through the points (4, 1, -1) and (5, -2, 4) and parallel to the c-axis d. passing through the points (1, 3, 5), (2, 6, 4), and (3, -3, 3) T
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