Let 3 be a basis for R3. Choose the option that correctly completes each of the following statements. B [ Select ] the vector (1,0, 0). B [ Select ] contain exactly 3 vectors. • The vector (1, 2, 3) [...

Hi, need help with this problem, please. Thank you! The following choices are:

"definintly does not contain", "definintly contains", "might contain"

"definintly does not contain", "definintly contains", "might contain"

"definitely can be written", "could possibly be written," "definitely cannot be written"

Extracted text: Let 3 be a basis for R3. Choose the option that correctly completes each of the following statements. B [ Select ] the vector (1,0, 0). B [ Select ] contain exactly 3 vectors. • The vector (1, 2, 3) [ Select ] as a linear combination of the vectors in B.