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...
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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.

 

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