1) How to tell if two lines are parallel? A, they have the same directional vector and share a point B, they have the same directional vector, but do not share points C, they share a point but does not have the same directional vectors D, they do not share points, and have different directional vectors
1) How to tell if two lines are parallel? A, they have the same directional vector and share a point B, they have the same directional vector, but do not share points C, they share a point but does not have the same directional vectors D, they do not share points, and have different directional vectors
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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![1) How to tell if two lines are parallel? A, they
have the same directional vector and share a point
B, they have the same directional vector, but do not
share points C, they share a point but does not
have the same directional vectors D, they do not
share points, and have different directional vectors
2) Which two lines are parallel to each other? A,
(1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(0, -1, 0)
B, (1, 0, 0) + t(0, 1, 0) and (-1, 0, 0) + s(0, 1, 0)
(1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(1, 0, 1)
D, (1, 1, 1) + t(1, -1, 1) and (1, 1, 1) + s(-1, 1, -1)
3) How to tell if two lines are perpendicular to each
other?
A, cross product = 0, and they intersect at
B, dot product = 0, and they intersect
a point
at a point
C, cross product = 0, and they do not intersect
D, dot product = 0, and they do not intersect
4) Which two lines are perpendicular to each other?
A, (1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(0, -1,0)
B, (1, 0, 0) + t(0, 1, 0) and (-1, 0, 0) + s(0, 1, 0)
C, (1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(1, 0, 1)
D, (1, 1, 1) + t(1, -1, 1) and (1, 1, 1) + s(-1, 1, -1)
5) Which lines are perpendicular to each other?
A, y = x + 1, y = x - 1
B, y = 2x + 1, y = -2x - 1
-0.5x - 1
C,
C, y = 2x - 1, y =
D, y = 2x + 1, y = 0.5x + 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F702b72a5-f07f-4c22-a3f5-6956511ed203%2F344679eb-0aa4-4b16-94e7-95b6d23038cd%2Fl4ywgap_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1) How to tell if two lines are parallel? A, they
have the same directional vector and share a point
B, they have the same directional vector, but do not
share points C, they share a point but does not
have the same directional vectors D, they do not
share points, and have different directional vectors
2) Which two lines are parallel to each other? A,
(1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(0, -1, 0)
B, (1, 0, 0) + t(0, 1, 0) and (-1, 0, 0) + s(0, 1, 0)
(1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(1, 0, 1)
D, (1, 1, 1) + t(1, -1, 1) and (1, 1, 1) + s(-1, 1, -1)
3) How to tell if two lines are perpendicular to each
other?
A, cross product = 0, and they intersect at
B, dot product = 0, and they intersect
a point
at a point
C, cross product = 0, and they do not intersect
D, dot product = 0, and they do not intersect
4) Which two lines are perpendicular to each other?
A, (1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(0, -1,0)
B, (1, 0, 0) + t(0, 1, 0) and (-1, 0, 0) + s(0, 1, 0)
C, (1, 0, 0) + t(0, 1, 0) and (1, 0, 0) + s(1, 0, 1)
D, (1, 1, 1) + t(1, -1, 1) and (1, 1, 1) + s(-1, 1, -1)
5) Which lines are perpendicular to each other?
A, y = x + 1, y = x - 1
B, y = 2x + 1, y = -2x - 1
-0.5x - 1
C,
C, y = 2x - 1, y =
D, y = 2x + 1, y = 0.5x + 1
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