Let W be the set of all vectors of the form shown on the right, where a, b, and crepresent arbitrary real numbers. Find a set S of vectors that spans W or give anexample 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.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.C. The set W is not a vector space because W is not closed under vector addition.D. The set W is not a vector space because W is not closed under scalar multiplication.2a + 7b0a+b+cc-3a

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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. 0. OA. 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. C. The set W is not a vector space because W is not closed under vector addition. D. The set W is not a vector space because W is not closed under scalar multiplication. 2a + 7b 0 a+b+c c-3a