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if b1, b2, b3, are vectors, why isnt b1b2b3=0 a subspace?
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What do you mean by b1b2b3?
three vectors b1, b2, b3 that when multiplied together yield zero.
So you are talking about the cross-product in ℝ^3 ? Then you still need to quantify how you construct the set which ought to be a subspace.
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