State with a brief explanation whether the following statements are true or false. (a) The vectors (1, 0) and (0, 1) span R 2 .
(b) The vectors (1, 0), (0, 1), and (1, 1) span R 2 .
(c) The vectors (1, 0) and (0, 1) are linearly independent.
(d) The vectors (1, 0), (0, 1) and (1, 1) are linearly independent.
(e) A set of any two vectors in R 2 is a basis for R 2 .
(f) A set of any three vectors in R 2 must be linearly dependent.
(g) R 2 is a subspace of R 3 .

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step-by-step explanation:

answer: sherk

step-by-step explanation:

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let's first notice, the center of the hyperbola is at the origin, since the focus points are equidistantly 3 units away from the origin, that also means that the distance "c" from the center to either focus is 3.

it should also be notable that, the traverse axis for this hyperbola is vertical, or namely over the y-axis and therefore, the positive fraction will be the one with y-variable.

the traverse "a" component or distance from the center to either vertex is not 2, is more than 2, so we can safely put it at √5 ≈ 2.24.