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 below and, if necessary, fill in the answer box to complete your choice. O A. The set W is a vector space and a spanning set is S= (Use a comma to separate vectors as needed.) B. The set W is not a vector space because W does not contain the zero vector. O C. The set W is not a vector space because W is not closed under vector addition. O D. The set W is not a vector space because W is not closed under scalar multiplication. 5a + 3b 0 a+b+c c-7a

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