Homework Help is Here – Start Your Trial Now!
Math
Calculus
True or False: 11. A normal vector to a line is perpendicular to that line. 12. Lines intersect in a point in two-space but do not intersect in three-space. 13. In three-space there are four possibilities for the intersection of two lines. 14. There is no scalar equation of a line in three space. 15. Any three non-collinear points in space will define a unique plane. 16. Two planes are parallel if their normals are perpendicular. 17. The direction vector of a line is an indicator of its slope. 18. A plane written in scalar form cannot be written in vector form. 19. Skew lines are lines that are not parallel but lie in parallel planes. 20. A line will always intersect with a plane. 21. The planes will always intersect at a point if their normals are not collinear. 22. If the dot product of the direction vector of a line and the normal of a plane is not equal to zero, then the intersections of the line and the plane is a point.

True or False: 11. A normal vector to a line is perpendicular to that line. 12. Lines intersect in a point in two-space but do not intersect in three-space. 13. In three-space there are four possibilities for the intersection of two lines. 14. There is no scalar equation of a line in three space. 15. Any three non-collinear points in space will define a unique plane. 16. Two planes are parallel if their normals are perpendicular. 17. The direction vector of a line is an indicator of its slope. 18. A plane written in scalar form cannot be written in vector form. 19. Skew lines are lines that are not parallel but lie in parallel planes. 20. A line will always intersect with a plane. 21. The planes will always intersect at a point if their normals are not collinear. 22. If the dot product of the direction vector of a line and the normal of a plane is not equal to zero, then the intersections of the line and the plane is a point.

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

can you please help if these are true or false and explain? thank you so much

True or False: 11. A normal vector to a line is perpendicular to that line. 12. Lines intersect in a point in two-space but do not intersect in three-space. 13. In three-space there are four possibilities for the intersection of two lines. 14. There is no scalar equation of a line in three space. 15. Any three non-collinear points in space will define a unique plane. 16. Two planes are parallel if their normals are perpendicular. 17. The direction vector of a line is an indicator of its slope. 18. A plane written in scalar form cannot be written in vector form. 19. Skew lines are lines that are not parallel but lie in parallel planes. 20. A line will always intersect with a plane. 21. The planes will always intersect at a point if their normals are not collinear. 22. If the dot product of the direction vector of a line and the normal of a plane is not equal to zero, then the intersections of the line and the plane is a point.
Transcribed Image Text:True or False: 11. A normal vector to a line is perpendicular to that line. 12. Lines intersect in a point in two-space but do not intersect in three-space. 13. In three-space there are four possibilities for the intersection of two lines. 14. There is no scalar equation of a line in three space. 15. Any three non-collinear points in space will define a unique plane. 16. Two planes are parallel if their normals are perpendicular. 17. The direction vector of a line is an indicator of its slope. 18. A plane written in scalar form cannot be written in vector form. 19. Skew lines are lines that are not parallel but lie in parallel planes. 20. A line will always intersect with a plane. 21. The planes will always intersect at a point if their normals are not collinear. 22. If the dot product of the direction vector of a line and the normal of a plane is not equal to zero, then the intersections of the line and the plane is a point.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS