Given the following vectors →u and →v, find a vector →w in ℝ3 so that {→u, →v, →w} spans ℝ3 and a non-zero vector →z in ℝ3 so that {→u, →v, →z} does not span ℝ3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 52EQ
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Given the following vectors →u and →v, find a vector →w in ℝ3 so that {→u, →v, →w} spans ℝ3 and a non-zero vector →z in ℝ3 so that {→u, →v, →z} does not span ℝ3.
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