4. Geometry: Given a line 2r + y = 2 in the two-dimensional plane, • If a given point (a, B) satisfies 2a + B > 2, where does it lie relative to the line? • What is the relationship of vector v = [2, 1]" to this line? What is the distance from origin to this line?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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4. Geometry: Given a line 2r + y = 2 in the two-dimensional plane,
• If a given point (a, 3) satisfies 2a + 3 > 2, where does it lie relative to the line?
• What is the relationship of vector v = [2, 1]" to this line?
• What is the distance from origin to this line?
Transcribed Image Text:4. Geometry: Given a line 2r + y = 2 in the two-dimensional plane, • If a given point (a, 3) satisfies 2a + 3 > 2, where does it lie relative to the line? • What is the relationship of vector v = [2, 1]" to this line? • What is the distance from origin to this line?
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