12.1Three Dimensional coordinatesystem
3Dspace
to consider a point in 3Dspace the coordinateaxes determine the
we want a fixedorigin o and coordinate planes The yzplane is
3 directed lines perpendicular 9 Plane is 2 0 x2plane is
to eachother This is a 3 with
coordinate axes x axis y axis
1
z axis az
nz
2
no 29
ro
Y
sY xy
x̅
point in 1123 P a b c where a is thedistance from the yz plane to P b is the distance
from the x2 plane to P and c is the distance from the xy plane to p
nz 5
4,3
move
i.name
sy
iii i 4
x̅ b x
y
s 4,3 5
surfaces
what does x 2 look like in 1122 R3
in 1122 in 123
y a
o 2
12,0101
y
in R
3 4 5
3
x y
y
3Dspace
to consider a point in 3Dspace the coordinateaxes determine the
we want a fixedorigin o and coordinate planes The yzplane is
3 directed lines perpendicular 9 Plane is 2 0 x2plane is
to eachother This is a 3 with
coordinate axes x axis y axis
1
z axis az
nz
2
no 29
ro
Y
sY xy
x̅
point in 1123 P a b c where a is thedistance from the yz plane to P b is the distance
from the x2 plane to P and c is the distance from the xy plane to p
nz 5
4,3
move
i.name
sy
iii i 4
x̅ b x
y
s 4,3 5
surfaces
what does x 2 look like in 1122 R3
in 1122 in 123
y a
o 2
12,0101
y
in R
3 4 5
3
x y
y
