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Vector perpendicular to plane,
v
P Q
P R
; Area = (1/2)
PQ
PR
.
Parallelepiped =
()
A
B
C
Plane through
P
orthogonal to
u
, replace
i
,
j
,
k
, with x, y, and z, respectively.
It is equal to the plane equation with a point (like P)
inserted.
Equation of line through
P
and
Q
P
P
p
x
x
t
x
y
y
t
y
z
z
t
z
(where x
PQ
is the coefficient of x…; also where x
p
is the xcoordinate of point P)
Distance
PS
n
d
n
, where
n
is unit normal vector to plane.
Projection
proj
Write PS as sum of a vector perpendicular to PQ and vector parallel to PQ
Projection of PS over PQ (which is vparallel) and (PS 
vparallel) [which is vperpendicular].
Motion of Particle in Space
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This note was uploaded on 06/01/2008 for the course MATH 1920 taught by Professor Pantano during the Spring '06 term at Cornell University (Engineering School).
 Spring '06
 PANTANO
 Math

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