The points A(5, −4, 6) and B(6, −6, 8) lie on the line L. The point C is (15, −5, 9). (a) D is the point on L that is closest to C. Find the coordinates of D. (6) (b) Hence find, in exact form, the shortest distance from C to L.
The points A(5, −4, 6) and B(6, −6, 8) lie on the line L. The point C is (15, −5, 9). (a) D is the point on L that is closest to C. Find the coordinates of D. (6) (b) Hence find, in exact form, the shortest distance from C to L.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.1: The Coordinate Plane
Problem 1E: The point that is 2 units to the left of the y-axis and 4 units above the x-axis has coordinates...
Related questions
Question
The points A(5, −4, 6) and B(6, −6, 8) lie on the line L. The point C is (15, −5, 9).
(a) D is the point on L that is closest to C.
Find the coordinates of D.
(6)
(b) Hence find, in exact form, the shortest distance from C to L.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University