12. Which of the following is the vector equation of a plane that contains the line 3+2-¹ and the point P(1,2,3)? a. 7=(3,-2,1)+s(5,-2,3)+1(-2,4,2), s,te R s,1 € R and 7=(3,-2,1)+s(-2,4,2)+1(5,-2,3), b. 7=(3,-2,1)+s(-24,2)+1(5,-2,3), s,t © R C. 7=(3,-2,1)+s(5,-2,3)+1(-2,4,2), s,t € R d. 7=(3,-2,1)+s(1,2,3)+(5,-2,3), s,t € R y+1 13. Which of the following lines is perpendicular to the line 6-12 -6 y+1 a. 7 = (6,-1,0) + s(-4,5,3), s € R C. b. (10,-6,-3) + s(1,2,-2), s € R d. none of the above

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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the
12. Which of the following is the vector equation of a plane that contains the line
e X-³_9+2 -2 -1
point P(1,2,3)?
a.
7=(3,-21) + s(5,-2,3)+1(-2,4,2), s,1 € R
and =(3,-2,1)+s(-2,4,2)+1(5,-2,3),
s.1 € R
=(3,-2,1)+s(-2,4,2)+1(5,-2,3),
s,te R
C.
=(3,-2,1)+s(5,-2,3)+1(-2,4,2),
s,t = R
d.
7=(3,-2,1)+s(1,2,3)+(5,-2,3), s,t = R
13. Which of the following lines is perpendicular to the line 6+1?
=
y-
a.
r = (6,-1,0) + s(-4,5,3), S € R
C.
*-6-9+1==3
b. = (10,-6,-3) +s(1,2,-2), s e R
d. none of the above
Transcribed Image Text:the 12. Which of the following is the vector equation of a plane that contains the line e X-³_9+2 -2 -1 point P(1,2,3)? a. 7=(3,-21) + s(5,-2,3)+1(-2,4,2), s,1 € R and =(3,-2,1)+s(-2,4,2)+1(5,-2,3), s.1 € R =(3,-2,1)+s(-2,4,2)+1(5,-2,3), s,te R C. =(3,-2,1)+s(5,-2,3)+1(-2,4,2), s,t = R d. 7=(3,-2,1)+s(1,2,3)+(5,-2,3), s,t = R 13. Which of the following lines is perpendicular to the line 6+1? = y- a. r = (6,-1,0) + s(-4,5,3), S € R C. *-6-9+1==3 b. = (10,-6,-3) +s(1,2,-2), s e R d. none of the above
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