Uploaded by 093-17 Richard Fatkan

Scan 30 Jan 2019

advertisement
•I
--- ·--(,_!\e
~ -Jl:.! -:- "
pt ooe
-1 _
. co,,cs\on t<\uaf,on -~o{
0,
~~-
~- "' ~
.. -
...
.
7:
··-
----- - - - - -·-.
.
•···••· ••· ·
...... --•····-·-
i'lfES Of G\ltS1\0N5
I
•
-
-·
lr-o) . \'\; o
- :
. !
-
4
:.
rn- an , tn: on
i .... -- . . . .-
J\ \
t.i ) . ..
d,rec-t\On ~ec,~ors
~ of \'H 't "'f\One
-~-,-(~:\•t U~) •
-- ---- --
.
·-
too,cf,oati
""',..et to<
\ ,.
@ \nte{seci\o"
____ _
htl~ .., t, ll
····• - -- ----• .... ···--- ·•-··•--·•·-
. . ·- ..----· ---
. ·-
·- ·-··• - ---··· --- . ·-··
•·••··
-----·-·······--·· ----•··· - ··•·• ..
-· ......
.. .
·---·" - ·-- ·•----------•-·•-··-··-· ----· ------ --- -·· ------ .
. ..•.. -··-· ............. ... ·•···-······ .. ··-· .... - - ..·--·-···· . ·······--·········· ····•·•· ....
3lltlt)tllt)t4L\•3t) T.L\ , t -:·\ . Then ptuQ .
.. -· --- ·- . ·-···..•---•·-' --· -···-···· . .. . ........ ..... ---· ···--·- .... ·-····- ....... . ·--· ··- --- ............. . __ . ... .... ····· ....... ---··· .
,
( - \ l • \ I 'ol
)
.,
,
,
\
ft
\
~
•
I
SOlU.tl Ot\ ~ X. ;. \ -t l4S
-■
J
L-\
Nor mal
a
'd
~ 11' !S
I
.. .
proved ✓
t o p1ane
no rma,
)
tht
meets
p\ao e.
©
•
•
•
•
•
•
•
•
•
•
rneets line: EHmh,otion
Li ne
~ ~
tOSoC - sin ll.t
Y -: Sin a(.
1' CO&
,/
solution : co~i.oc. - sin11.co sk. t
l
<1.
J.
.)t.
co Sl{t
~
@ ~ng,e between line ~
r :.
(i)~t(~)
i
p1one
x- ~~t,o
dot product of l directions
cose :.
US~ ASTC ➔
= \ ,,
'f s\n Ol
lN,\
~
\N i. \
_;,f
0: <t1. 1\4° , \80°- cn .1~ •: 8 1
"'s-,ne
6 :
I'
8 l., 3• ' q Oo - 8 2 • ! • -: 1 . l 4 o ,,
G) Find cortesia" equation
/\ (t) , S (-~~)
,
C \
Q
z
&
r
(
:~)
all
I
coordi11ate s
f f Oh\
?, )
ill
tlOrmal = ( ~)
~ ~ b4 These
lC.
AC : (~! )
C
ON the p 1one
■
0
~
%
0
c.)
1
does not matter
l.U hat r
q
dlrectlon ,~"~ u1 f 1p1e .
Pu t in A : 2'X. - 'ft 1
i:
d ,
"--, bt A ln Plane.
is, \>t
•
•
I
I
- ·
@ 1nters
. ect'10~ . l \in e S
r
a-0) ,b,(1),
,,O)+tltia)
r -:
©
lotnc r}
L:
l\) , find
..
on p1one .
\J ectors not ne ces s ori \'f
dr>. :
~nrn·mQ tion
e\ .. ol .l &t. A •
of P\ Qne contuini n3
l-t )+ s ( \) •• find
F
0
;~ - (-~ )
J
l.on p\aoe
· - · ·· - - not - - _ ·-
-- ..
..,.__,,... ·-- ······ ·················-····-········- - - - - - - - -
-
-
- - -- -- -
-
- ---- - -------
-- ..
·•
..
-.. - · - ·-- -··· --····•·--· .
. -- .........·--· ... ·-··---· -·-
.
,,
____-
.-- --
------ ·------
Download