4. (a) (b) (c) For this problem, consider the planes P₁: x+y=z= 1, and Find the angle between P₁ and P₂. P₂: 2x + 3y + 5z = 5. Find parametric equations for the line of intersection of P₁ and P₂. Find the point on P₁ that is closest to (2,3,1).
4. (a) (b) (c) For this problem, consider the planes P₁: x+y=z= 1, and Find the angle between P₁ and P₂. P₂: 2x + 3y + 5z = 5. Find parametric equations for the line of intersection of P₁ and P₂. Find the point on P₁ that is closest to (2,3,1).
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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4.
please solve it on paper
the answers should match the 2nd pic ( answer key)
Transcribed Image Text:4.
(a)
(b)
(c)
For this problem, consider the planes
P₁ x+y=z= 1, and P₂: 2x + 3y + 5z = 5.
Find the angle between P₁ and P₂.
Find parametric equations for the line of intersection of P₁ and P₂.
Find the point on P₁ that is closest to (2, 3, 1).
Transcribed Image Text:(a) π/2.
(b) x = −2+8t, y = 3 - 7t, z = t.
(c) (1,2,2).
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