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Let V be the subset of vectors & E R³ such that the length of the projection of v onto the z axis is ½ of the length of v. a) Describe the set V geometrically. b) Prove or disprove: V is a vector space.

Let V be the subset of vectors & E R³ such that the length of the projection of v onto the z axis is ½ of the length of v. a) Describe the set V geometrically. b) Prove or disprove: V is a vector space.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please do part a and b and show work
Let V be the subset of vectors ER³ such that the length of the projection of onto the z axis is ½ of the length of 7. a) Describe the set V geometrically. b) Prove or disprove: V is a vector space.
Transcribed Image Text:Let V be the subset of vectors ER³ such that the length of the projection of onto the z axis is ½ of the length of 7. a) Describe the set V geometrically. b) Prove or disprove: V is a vector space.
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