(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
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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.
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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