1. Let, p is the set of all vectors of the form: m,n, te R. 2n (a) Is p closed under vector addition? (b) Is p closed umder scalar multiplication? (c) What is the zero vector in the set p ? P. (d) Does every vector p in p have a negative that is in p?

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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1. Let, p is the set of all vectors of the form:
2n
, m, n, te R.
(a) Is p closed under vector addition?
(b) Is p closed under scalar multiplication?
(c) What is the zero vector in the set p ?
(d) Does every vector p in p have a negative that is in p
Transcribed Image Text:1. Let, p is the set of all vectors of the form: 2n , m, n, te R. (a) Is p closed under vector addition? (b) Is p closed under scalar multiplication? (c) What is the zero vector in the set p ? (d) Does every vector p in p have a negative that is in p
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