Give a geometric description of span {v1, v2} for the vectors v1 = [2

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Give a geometric description of span {v1, v2} for the vectors v1 = [20 25 -5)] and v2 = [12 15 -3] choose the correct answer below. A. Span {v1, v2} is R^3. B. span {v1, v2} cannot be determined with the given information. C. span {v1, v2} is the set of points on the line through v1 and 0. D. span {v1, v2} is the plane in R^3 that contains v1, v2 and 0.

$Give a geometric description of span {v1, v2} for the vectors v1 = [20 25 -5)] and v2 = [12 15 -3] choose the correct answer below. A. Span {v1, v2} is R^3. B. span {v1, v2} cannot be determined with the given information. C. span {v1, v2} is the set of points on the line through v1 and 0. D. span {v1, v2} is the plane in R^3 that contains v1, v2 and 0.$

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Give a geometric description of span {v1, v2} for the vectors v1 = [20 25 -5)] and v2 = [12 15 -3] choose the correct answer below. A. Span {v1, v2} is R^3. B. span {v1, v2} cannot be determined with the given information. C. span {v1, v2} is the set of points on the line through v1 and 0. D. span {v1, v2} is the plane in R^3 that contains v1, v2 and 0.

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$The set Span {u, v} is always visualized as a plane through the origin. Determine whether the statement below is true or false. Justify the answer. Choose the correct answer below. A. The statement is false. Although the set Span {u,v} is always visualized as a plane, it is not always through the origin. B. The statement is true. The set Span {u,v} is always visualized as a line in R^3 that contains u, v, and 0 C. The statement is true. The set Span {u,v} is always visualized as a plane in R^3 that contains u, v, and 0. D. The statement is false. It is often true, but Span {u,v} is not a plane when v is a multiple of u or when u is the zero vector.$

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$Let v1 = [0 0 -5], v2 = [0 -4 10], v3 = [6 -3 15]. Does {v1, v2, v3 } span R^3? Why or why not? Choose the correct answer below. A. Yes. Any vector in R^3 except the zero vector can be written as a linear combination of these three vectors. B. No. The set of given vectors spans a plane in R^3. Any of the three vectors can be written as a linear combination of t C. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows.$

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$List 5 vectors in span{v1, v2}. Do not make a sketch. v1 = [6 2 -5)], v2 = [-5 3 0] List five vectors in Span{v1, v2} (Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element. Type each answer only once.)$

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