Class notes
Class notes UW MATH126 (Math126)
- Course
- MATH126 (MATH126)
- Institution
- University Of Washington
Class notes for UW Math126
[Show more]
Seller
Follow
Content preview
minate sea
Y Ist quadrant
In 2D
IR2 =
((X y)(x
, ,
y <R)
y f(x)
=
.
* *
projection
Distance
of
from
P on
p
to
to
by y z
xy plane
place
=
expo a
(x
10
z
,
,
0
y z)
,
,
t)
* Equations of geometric objects
1-dim
in R
S Y
XZ
z
=
=
Y
X
objects lines
-
:
curves
·
coordinate axis
X free
* Distance from P to x axis =
I
vas
X axis (x = x)
y
=
z =
-
: x
Y (
=
+ z2
y - axim : x = z = w
(y y)
=
z-axis : X =
Y = w (z = z( Z
=y
2
.
g * Distance from to
..
Origon p(0 0)
.
,
0
- ,
1041 =y+ z
* Distance between 4(X ) & Q (x2 Y2 ,
..
Y , , z 1 , = 2)
iPal : 42 x ( .
2
+ (y2 y-
. ) + (zz -
z ,
14
x+ 1 z
y 0
= =
,
Not a line
x+
y + z =
14
is a
plane
X=
y = z 7 A live
, I
#
2D objects surface places
-
:
,
·
coordinate
places
Free var
↓ X
xy place : z = 0 (x = X ,
j =
y)
X
yz = r
xZ y = 0
*
Equation of other places
2
. X = 2
x+ +z
y
=
1
2x +
3y + 5z =
6
·
surface in R3
e
.
g
.
sphere
centered O (0 0)
S
.
0 ,
Radius
..
=
r
10P1 = w
x= +
y + z = ra
centered 2[X0 %0 zo)
S
, ,
Radius = r
ICP1 = v
(x -
Xo("+ (y yo)+ (z zo)" ri- -
=
X
eg .
x+ 2
y+ 5z2
=
5 ( ellipsoid lit
2x2 +
2y2 + 222 = 8x -
4z + 2
2x2 22 +
8x +
2y2 + 42 2
=
2(X -
2) + 2y + 2(z + 1)2 = 12
(x-2)" y +
+ z + 1 = 6 < sphere centered at <(2 ,
0
. -1)
u = Vo
, I
#
# ea
#yo :8 pper wal space
ou
2
.
g
.
x2+ z-
v
, I
-
2
12 x +
y+ z* 4
Chap
~
12 2
. Vector
In 24
-
I
· A vector is a
object that specifies
& direction .
a
magnitude a
(length
rector IB : arrow from A to B
· same
magni & length
2
-
.
g. =
In 2D A (2 1) B (5 3)
, , ,
same rector
a =
B =
<5 -
2
,
3 -
1) =
33 , 2)
of & B are
different geometric
In 3D , P(1 ,
2 . 1) & & (2 · 3 , 1 representations of the same rector .
= =
Fr = (2 1
b (1))
-
2 1
2)
=
x
-
,
1
-
,
, ,
In 21 pts A(x1 y,) & B(X2, Y2)
given
·
,
,
The zero
-
rector : In 2D 5 =
10 , 03 therewith representation
a
>
-
In 3D5 a <Xz X,,
10 y )
=
= 0 6) ya
-
-
, , ,
/X
↑
Xcom - y com
#s the pation -
Dont confuse a
1)
pitas a
& (
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller yuzuclare. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.39. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
72841 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now