Let / denote the line in R with equation y = = 3x - 2. Let Q = (2, -1). (a) Write the line / in vector form (i.e. of the form p = po + td where Po is a point on the line and d is a direction vector). (b) Find the distance from Q to l. (c) Find the point on / closest to Q.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 7E
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Let / denote the line in R² with equation y = 3x - 2. Let Q = (2, -1).
(a) Write the line / in vector form (i.e. of the form p = po + td where Po is a point on the line and d is a direction
vector).
(b) Find the distance from Q to 1.
(c) Find the point on I closest to Q.
Transcribed Image Text:Let / denote the line in R² with equation y = 3x - 2. Let Q = (2, -1). (a) Write the line / in vector form (i.e. of the form p = po + td where Po is a point on the line and d is a direction vector). (b) Find the distance from Q to 1. (c) Find the point on I closest to Q.
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