Determine the location of the point (x,y,z) so that the condition(s) is (are) satisfied. xyz > 0
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OpenStudy (amistre64):
theres only one point?
OpenStudy (amistre64):
x>0
y>0
z>=
OpenStudy (amistre64):
z>0 laptop keyboard has issues lol
OpenStudy (anonymous):
only one point
OpenStudy (amistre64):
1,1,1 is one point
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OpenStudy (anonymous):
1,1,1 is one point
OpenStudy (amistre64):
5,-3,-10 is another
OpenStudy (anonymous):
5,-3,-10 is another
OpenStudy (anonymous):
A medal.
OpenStudy (amistre64):
as long as there are at least 2 negatives; and no zeros; your good
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OpenStudy (anonymous):
As long as there are at least 2 negatives; and no zeros; your good
OpenStudy (anonymous):
ok, and xyz >0, and not one point but region.
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
A medal
OpenStudy (amistre64):
the region eh... how should we define it?
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OpenStudy (anonymous):
i mean xyz < 0
OpenStudy (anonymous):
the region eh... how should we define it?
OpenStudy (anonymous):
to the right of xy plane, to the left of xz plane
OpenStudy (anonymous):
Looks like the whole of the first and third quadrants, except for the point (0,0,0)
OpenStudy (amistre64):
it aint quadrants; its octants in R^3
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myininaya (myininaya):
case 1: x,y>0 and z<0
case 2: x,z>0 and y<0
case 3: y,z>0 and x<0
OpenStudy (anonymous):
why the whole octants and not half?
OpenStudy (anonymous):
I think he means half, deending on how he sees octants
OpenStudy (amistre64):
case4: x,y,z <0
myininaya (myininaya):
lol ok showoff!
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OpenStudy (amistre64):
lol
myininaya (myininaya):
that should be all the cases now
OpenStudy (anonymous):
The answer is, to the right of the xz plane and behind the yz plane or to the left of the xz plane and in front of the yz plane. I don't understand. Can you help me?
OpenStudy (amistre64):
that only makes sense if you position the axis as whaat, left handed?
OpenStudy (anonymous):
z points up and x to the left
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OpenStudy (amistre64):
thats right handed orientation then :)
OpenStudy (amistre64):
the x,y 'plane' excludes z ; and the rest in similar fashions
OpenStudy (anonymous):
should I say infront of the xz plane when I mean the xz plane facing towards positive x?