Question

Determine the location of the point (x,y,z) so that the condition(s) is (are) satisfied. xyz > 0

Answer 1

theres only one point?

Answer 2

x>0
y>0
z>=

Answer 3

z>0 laptop keyboard has issues lol

Answer 4

only one point

Answer 5

1,1,1 is one point

Answer 6

1,1,1 is one point

Answer 7

5,-3,-10 is another

Answer 8

5,-3,-10 is another

Answer 9

A medal.

Answer 10

as long as there are at least 2 negatives; and no zeros; your good

Answer 11

As long as there are at least 2 negatives; and no zeros; your good

Answer 12

ok, and xyz >0, and not one point but region.

Answer 13

yes

Answer 14

A medal

Answer 15

the region eh... how should we define it?

Answer 16

i mean xyz < 0

Answer 17

the region eh... how should we define it?

Answer 18

to the right of xy plane, to the left of xz plane

Answer 19

Looks like the whole of the first and third quadrants, except for the point (0,0,0)

Answer 20

it aint quadrants; its octants in R^3

Answer 21

case 1: x,y>0 and z<0
case 2: x,z>0 and y<0
case 3: y,z>0 and x<0

Answer 22

why the whole octants and not half?

Answer 23

I think he means half, deending on how he sees octants

Answer 24

case4: x,y,z <0

Answer 25

lol ok showoff!

Answer 26

lol

Answer 27

that should be all the cases now

Answer 28

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?

Answer 29

that only makes sense if you position the axis as whaat, left handed?

Answer 30

z points up and x to the left

Answer 31

thats right handed orientation then :)

Answer 32

the x,y 'plane' excludes z ; and the rest in similar fashions

Answer 33

should I say infront of the xz plane when I mean the xz plane facing towards positive x?

Answer 34

excuse me, facing towards positive y