# Span in R6

1. Can a set of 5 vectors in R6 span all of R6?

I want to say that it does span, because i remember my teacher saying "don't think of the physical world," but i'm not entirely sure if it does.

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Dick
Homework Helper
Neither of those are very good reasons for answering one way or another. Why do you think 5 vectors can span R^6?

Neither of those are very good reasons for answering one way or another. Why do you think 5 vectors can span R^6?

I'm not sure, to be honest.

How many vectors span R2? R3?

How many vectors span R2? R3?

Um, I'm guessing that vectors span R2 and 3 Vectors span R3.
so... that must mean that 6 vectors span R6.

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HallsofIvy