Mathematics
8 Online
OpenStudy (anonymous):
Find the equation of the plane through (7,9,5) parallel to the plane 3x + 4y + 7z = 0.
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OpenStudy (amistre64):
your gradient is <3,4,7> which is also your normal
OpenStudy (anonymous):
amistre knows her vectors well. :)
OpenStudy (amistre64):
3(x-7)+4(y-9)+7(z-5) = 0
OpenStudy (amistre64):
lol... at least 2 of them ;)
OpenStudy (amistre64):
another form of it is:
3x +4y + 7z - (21+36+35) = 0
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OpenStudy (anonymous):
amistre is a her? :O
OpenStudy (amistre64):
online im whatever they wanna picture me as lol
OpenStudy (anonymous):
yeah she is a she
OpenStudy (anonymous):
or i projected her as a she. a cute she
OpenStudy (anonymous):
LOL. is that the eq?
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OpenStudy (amistre64):
that is the eq
OpenStudy (amistre64):
i look like meg ryan if you squint hard enough ;)
OpenStudy (anonymous):
aweesome. haha howd u get 21 and those other numbers
OpenStudy (amistre64):
first i killed a chicken, then spread its blood around the bedposts, did an incantation, and oijied the results ...maybe
OpenStudy (anonymous):
wow thats some talent!
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OpenStudy (amistre64):
take your normal/gradient; and apply it to the point they gave you
OpenStudy (anonymous):
haha lol aight
OpenStudy (amistre64):
x-7 y-...... z - ......
OpenStudy (amistre64):
i just exapnded the first equation i gave you; they are equal
OpenStudy (anonymous):
sweet
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OpenStudy (amistre64):
for reference; the normal vector is <a,b,c>; and point P(x,y,z) the plane equation is:
a(x-Px)+b(y-Py)+c(z-Pz)=0
OpenStudy (anonymous):
ohh awesome.got it!