Consider the set V of all real triples of the form (a, b, c) where c = a – 2b under the usual vector addition and scalar multiplication of R3 . Give the following (fill in the blanks) examples of 3-tuples in V as requested. Write your answers as comma-delimited triples using parentheses. For ease in reading, place a space after each comma. If no such requested element exists, write the word "none" in the box (no quotation marks). a. a specific non-zero element of V whose first and third components are the same: b. a specific element of V whose third component is 6. c. a non-zero specific element of V whose second component is -1.
Consider the set V of all real triples of the form (a, b, c) where c = a – 2b under the usual
Give the following (fill in the blanks) examples of 3-tuples in V as requested. Write your answers as comma-delimited triples using parentheses. For ease in reading, place a space after each comma. If no such requested element exists, write the word "none" in the box (no quotation marks).
a. a specific non-zero element of V whose first and third components are the same:
b. a specific element of V whose third component is 6.
c. a non-zero specific element of V whose second component is -1.
d. a specific element of R3 that is not in V.
e. a specific element of v in V for which -v is not in V.
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Consider the set V of all real triples of the form (a, b, c) where c = a – 2b under the usual
Give the following (fill in the blanks) examples of 3-tuples in V as requested. Write your answers as comma-delimited triples using parentheses. For ease in reading, place a space after each comma. If no such requested element exists, write the word "none" in the box (no quotation marks).
a. a specific non-zero element of V whose first and third components are the same:
b. a specific element of V whose third component is 6.
c. a non-zero specific element of V whose second component is -1.
d. a specific element of R3 that is not in V.
e. a specific element of v in V for which -v is not in V.
please only answer d and e
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