Normal vector help

[wanton cipher]

are you familiar with the n•r=c way of denoting a plane?

@oblique fern

[oblique fern]

no

[wanton cipher]

normal•point on plane

that's a really easy way to extract a normal to a plane from the cartesian

[oblique fern]

we touched on normal vectors

is that the same thing?

[wanton cipher]

6x-3y+2z=4
(6,-3,2)•(x,y,z)=4
normal is 6,-3,2
modulus of this is √(36+9+4)=√44
so you scale this by 1/√44 and -1/√44 because you can have it both facing above and below the plane

[oblique fern]

how is √(36+9+4) equal to √44?

[wanton cipher]

mb typo √49

so 7

scale by 1/7

[oblique fern]

so because its a unit vector, it will always be (+/-) <6,-3,2>/√44?

[wanton cipher]

(6,-3,2)/7 yeah

[oblique fern]

ty!

[upper magnet]

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