2.5 Equations of Lines and Planes
he
vector equation
nt
濟
ㅹ
L
f
숭
濕疱
p
L
Pick a vector Ti from
O to a point Po on L
F
f
ri ti
x y z
F
I
T
NG y zh
P
For any point on L a vector
from O to that point is given
by F B
a b c
P
3D case
at scot at
y
z
got bt
E
I parametric equation
tch
t Caned t
다뜰
Af
Ztt
asymmetric equations
Ets A line passesthrough 15.1.33 and it is parallel to 욟十惱
vector eq
parametric eq symmetric eq
學
籌
횷
i
if
F
i
Titties
As
when 士 二
1
2뼙
B
retreats
FCD F
It IT
Costas
Planes
vector equation
忿
ii
魯
Pick a vector ri from
place
Let t be a vector
perpendicular to the
plane called a more
oecd
A E T
0
飇
For any point on the plane a vector
from Po to that point is perpendicular
to A
B.ci
B
0
군 I
a b c
F
a
y z
s
T
Nco yo Zo
Is taken equation
23
a Cisco
tb ly yo
we
find the normal vector using the cross product
can
an equator for
Etta
soe
tazio
譁迲 iii
13 1.6
0
the plane including
A
I
Get lost Rz
E Find the angle between the planes sagtz
2 3
1t4 주기
byte
竿
ae
一
by
Ra heft
To y
fasciata It
이조 T 이 tbcg.gs tazz
art
50 g
cos
0 cos
iii
ㅕ
on
Z2
14 Ess
2g 3Z 다
le.sc
보
Distances
L3
set
12 ED tao g 33
t 12 20 14
i
5.2.03
12.20.14
0
254.47 44 l 2
his lil
bgtcztdOEEG.ba
351 03
1.3.23
捻 測
씨에
art
cz
쁬川
t 암
然 器
쓾
다이마장
EF ind the distance between two planes lotiay
R
Solid Pick one point in one plane
_go.z.tl
ie
보 o.it
az
5.5scty
distances
zt.li
Effete
y
릂
C정