#how to know if two equations for a vector plane is equivalent?

10 messages · Page 1 of 1 (latest)

rigid chasm
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in terms of vectors

dull harnessBOT
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vast condor
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if you have:
P1: a1 x1 + a2 x2 + ... + an xn = 0
P2: a1' x1' + a2' x2 + ... + an' xn = 0

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Then P1 is just <a, x> = 0

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and P2 is <a', x> = 0

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so clearly if they have the same solutions then a and a' are collinear (since they need to span the same line)

rigid chasm
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thank you

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+close