Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show that W is not a vector space. Select the correct choice and fill in the answer box as needed to complete your choice. A. A spanning set is S = (Use a comma to separate answers as needed.) B. There is no spanning set of W because W does not contain the zero vector. OC. There is no spanning set of W because W is not closed under scalar multiplication. O D. There is no spanning set of W because W is not closed under vector addition. 3a + 5b 7b +2c 7c+ 6a 4b
Let W be the set of all vectors of the form shown on the right, where a, b, and c represent arbitrary real numbers. Find a set S of vectors that spans W or give an example or an explanation to show that W is not a vector space. Select the correct choice and fill in the answer box as needed to complete your choice. A. A spanning set is S = (Use a comma to separate answers as needed.) B. There is no spanning set of W because W does not contain the zero vector. OC. There is no spanning set of W because W is not closed under scalar multiplication. O D. There is no spanning set of W because W is not closed under vector addition. 3a + 5b 7b +2c 7c+ 6a 4b
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 47E
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