Let V = R³, U = {(x, y, z) = R³ | 3x + y = 5z = 0} and W = {(x, y,0) = R³ | x + 2y =0}. Which of the following applies to UnWand U+W? Select one: None of the others apply Un W is a line, U + W = V UnW= {0},U + W = V UnW=W, U+W = U UnW is a line, U + W is a plane

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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Let V = R³, U = {(x, y, z) = R³ | 3x + y − 5z = 0} and W = {(x, y, 0) ≤ R³ | x + 2y = 0}.
Which of the following applies to Un Wand U + W?
Select one:
None of the others apply
O
un W is a line, U + W = V
O UnW = {0},U+W = V
UnW=W, U + W = U
UnW is a line, U+W is a plane
Transcribed Image Text:Let V = R³, U = {(x, y, z) = R³ | 3x + y − 5z = 0} and W = {(x, y, 0) ≤ R³ | x + 2y = 0}. Which of the following applies to Un Wand U + W? Select one: None of the others apply O un W is a line, U + W = V O UnW = {0},U+W = V UnW=W, U + W = U UnW is a line, U+W is a plane
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