(b) Find a vector equation for the line that passes through A and B; also find the distance from C to the line.
(b) Find a vector equation for the line that passes through A and B; also find the distance from C to the line.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 31E
Related questions
Question
Help with parts b and c on this quesiton thanks.
![1. Vectors and Geometry
Let A = (0, 1, 3), B = (0, 6, 6), C = (3, −5, 5), and 0 = (0, 0, 0).
(a) Let u
-
· AB, v = BỜ. (1) Simplify 2u +3v; (2) Find the angel LABC; (3) Find
the area of AABC.
(b) Find a vector equation for the line that passes through A and B; also find the
distance from C to the line.
(c) Find a linear equation for the plane that passes through A,B, and C; also find a
point D on the plane such that OD is perpendicular to the plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf673b33-84d3-4207-a3d8-77b439e8ab65%2F5fcbe128-3ede-4506-b2d7-9bf98ae63799%2Fal1ss26_processed.png&w=3840&q=75)
Transcribed Image Text:1. Vectors and Geometry
Let A = (0, 1, 3), B = (0, 6, 6), C = (3, −5, 5), and 0 = (0, 0, 0).
(a) Let u
-
· AB, v = BỜ. (1) Simplify 2u +3v; (2) Find the angel LABC; (3) Find
the area of AABC.
(b) Find a vector equation for the line that passes through A and B; also find the
distance from C to the line.
(c) Find a linear equation for the plane that passes through A,B, and C; also find a
point D on the plane such that OD is perpendicular to the plane.
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