Understanding Vector Direction in a Cubic System | Explanation & Examples

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superwolf
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What is meant by this sentence:

"In a cubic system, all directions of the vectors [100], [010], [001], [tex][bar{1} 00][/tex], [tex][0 bar{1} 0][/tex], and [tex][00 bar{1}][/tex], areequivalent and indistinguishable."

They point in different directions!
 

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I assume they are talking about a crystal here. Then the statement just says that you cannot tell along which of the given vectors you are looking by examining the crystal.
 
Is plane (1 1 2) identical to (-1 -1 -2), or are they just parallel?
 

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