(a) The following figure represents line L. i) ii) iii) Find r, of line L. Ans: r.-(0,4) or (2.0) A 2 Figure 1 Find parallel vector v. Ans: v=(2,-4) or Find parametric equations of line L based on the answer in i) and ii). Ans: y=4-4 or x=2-2r y=41

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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Question
(a)
The following figure represents line L.
y
i)
ii)
iii)
i)
Find r, of line L.
ii)
Ans:
r(0,4) or (2.0)
Find parallel vector v.
Ans:
v=(2,-4)
or
v=(-2,4)
Ans:
x=21
y=4-41
Find parametric equations of line L based on the answer in i) and ii).
or
Ans:
x=2-21
y=4t
(b) Given the equations of plane P, and plane P, as follow
P:x+2y-32=9
P₁:ax+by-92z=5
n₁=kn
(1,2,-3)=k(a,b.-9)
L
3x+6y-9z=5
Ans:
2
Figure 1
If P and P, parallel to each other, determine the value of a and b. Then,
rewrite the equation of plane, P.
X
3(9)+6(0)-9(0)-5
Based on answer in i), find the distance between the two planes, P, and P.
Transcribed Image Text:(a) The following figure represents line L. y i) ii) iii) i) Find r, of line L. ii) Ans: r(0,4) or (2.0) Find parallel vector v. Ans: v=(2,-4) or v=(-2,4) Ans: x=21 y=4-41 Find parametric equations of line L based on the answer in i) and ii). or Ans: x=2-21 y=4t (b) Given the equations of plane P, and plane P, as follow P:x+2y-32=9 P₁:ax+by-92z=5 n₁=kn (1,2,-3)=k(a,b.-9) L 3x+6y-9z=5 Ans: 2 Figure 1 If P and P, parallel to each other, determine the value of a and b. Then, rewrite the equation of plane, P. X 3(9)+6(0)-9(0)-5 Based on answer in i), find the distance between the two planes, P, and P.
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