/sci/ - Science & Math » Thread #12243071

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Anonymous Sat 17 Oct 21:52:31 2020 No.12243071 View Reply Original Report

Quoted By: >>12243266 >>12243531 >>12243561 >>12243590

simple question, can planes be linear independent or is it only vectors? Specifically 4 planes in 3d space

Anonymous

Anonymous Sat 17 Oct 2020 22:50:56 No.12243266 Report

Quoted By:

>>12243071
I've never heard planes described as linearly independent, but I don't see why they couldn't be talked about that way. A plane is defined by two vectors. If those two vectors are linearly independent from the other vectors in your space, then it seems valid to say that the plane is linearly independent

Anonymous

Anonymous Sat 17 Oct 2020 23:16:33 No.12243348 Report

Quoted By:

"planarly" independent

Anonymous

Anonymous Sun 18 Oct 2020 00:20:15 No.12243531 Report

Quoted By:

>>12243071
That picture hits me in the feels. Poor kid. I wonder how he’s doing today.

Anonymous

Anonymous Sun 18 Oct 2020 00:29:52 No.12243561 Report

Quoted By:

>>12243071
Every vector is dual to a plane through the origin in R3, you could say such planes are linearly independent if their dual (normal) vectors are

Anonymous

Anonymous Sun 18 Oct 2020 00:44:52 No.12243590 Report

Quoted By:

>>12243071
He doesn't even look happy here though

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