Which of the following statements areTRUE for the given line L :x = -1+ 2t , y = t , z= 5 – 3t (te R) I. The point (1, 1, 2) is on the L II. The vector ū = 2i + 10k is parallel to the line L %3! III. The vector i =i+4j+2k is perpendicular to the line L

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 7E
icon
Related questions
Question

Which of the following statements are TRUE for the given line 

Which of the following statements areTRUE for the given line
L : x = -1+2t , y = t , z= 5 – 3t (t e R)
I. The point (1, 1, 2) is on the L
II. The vector i = 2i + 10k is parallel to the line L
III. The vector i = i + 4j+ 2k is perpendicular to the line L
Transcribed Image Text:Which of the following statements areTRUE for the given line L : x = -1+2t , y = t , z= 5 – 3t (t e R) I. The point (1, 1, 2) is on the L II. The vector i = 2i + 10k is parallel to the line L III. The vector i = i + 4j+ 2k is perpendicular to the line L
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Types of Angles
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning