Given the two planes: II : x + 2y +3z= –1, II2 : 2x + 5y +14z = 11, tis true that: a) The line L formed by intersecting both planes has equation: x = -27+ 13t %3D L:{y= 13 – 8t z=t, teR. b) c) The intersection of these planes is either of them. since they are the same plane d) There is no intersection line between these two planes, because they are parale e) The line L that is formed by intersecting both planes has equation: x = 13 – 105t L: y=-8+13t

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Given the two planes:
II1 : x + 2y + 3z = –1,
По : 2а + 5у + 1423D 11,
it is true that:
a) The line L formed by intersecting both planes has equation:
x = -27+13t
L:
y= 13 – 8t
z= t, teR.
b)
c) The intersection of these planes is either of them, since they are the same plane.
d) There is no intersection line between these two planes, because they are parallel.
e) The line L that is formed by intersecting both planes has equation:
13 – 105t
L:
y= -8+13t
z= 0, te R.
Transcribed Image Text:Given the two planes: II1 : x + 2y + 3z = –1, По : 2а + 5у + 1423D 11, it is true that: a) The line L formed by intersecting both planes has equation: x = -27+13t L: y= 13 – 8t z= t, teR. b) c) The intersection of these planes is either of them, since they are the same plane. d) There is no intersection line between these two planes, because they are parallel. e) The line L that is formed by intersecting both planes has equation: 13 – 105t L: y= -8+13t z= 0, te R.
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