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## Homework Statement

Determine whether the set is a basis for R3.

[3, -8, 1] , [6, 2, -5]

## The Attempt at a Solution

I know it does not span R3, but the book says it is a basis for a plane in R3. How is it a plane?

- Thread starter fk378
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- #1

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Determine whether the set is a basis for R3.

[3, -8, 1] , [6, 2, -5]

I know it does not span R3, but the book says it is a basis for a plane in R3. How is it a plane?

- #2

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It doesn't span R^{3}, but it does span R^{2}, which you can think of as a plane in R^{3}.

- #3

Defennder

Homework Helper

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If you have only 1 linearly independent vector, then the linear span of that vector would be a line.

The linear span of 2 linearly independent vectors is a plane in R^n.

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