In R3, for a plane and a point outside the plane; I. From the point, only one perpendicular line can be drawn to the plane. From the point, only one parallel line can be drawn to the plane. An infinite number of lines can be drawn from the point at an angle of 45 degrees to the plane. II. III. Which of the followings is true. A) I, II B) II, III C) III D) I, III E) I, II, III

In R3, for a plane and a point outside the plane; I. From the point, only one perpendicular line can be drawn to the plane. From the point, only one parallel line can be drawn to the plane. An infinite number of lines can be drawn from the point at an angle of 45 degrees to the plane. II. III. Which of the followings is true. A) I, II B) II, III C) III D) I, III E) I, II, III

Name: In R³, for a plane and a point outside the plane;I.From the point, on
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Description: In R³, for a plane and a point outside the plane;I.From the point, only one perpendicular line can be drawn to the plane.From the point, only one parallel line can be drawn to the plane.An infinite number of lines can be drawn from the point at an a

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

In R³, for a plane and a point outside the plane;
I.
From the point, only one perpendicular line can be drawn to the plane.
From the point, only one parallel line can be drawn to the plane.
An infinite number of lines can be drawn from the point at an angle of 45 degrees to
the plane.
П.
III.
Which of the followings is true.
A) I, II
B) II, III
С) II
D) I, III
E) I, II, III

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