Math 43, Fall 2007
B. Dodson
Week 3:
Finish suggested homework 2,
. . .
Graded Homework 3:
pg. 56  #6, 8,
due Mon. Sept 17
Suggested Homework 3:
problems from graded
Homework 2 plus 1.2  42, 43; and
1.3  8, 10, 12, 14, 23, 24
due (but not collected) Wed. Sept. 19.
Third week.
Our text has four versions of the equation of a plane
(and even goes back to add more versions of the
equation of the line). There are two types, each
with two versions. The main type is the
normal equation,
which can also be
written in the form of a
general equation.
A basic example is given in Example 1.23 (text).
If we think about looking for replacements of
the
slope
in the
slopeintercept
equation
y
=
mx
+
b,
with slope
m
and
y
intercept (0
, b
)
,
recall that we ﬁrst used
direction vector
±
d
= [1
, m
]
.
Then the
corresponding vector equation was
±x
= [0
, b
] +
t
[1
, m
]
,
or the less specﬁc equation
±x
=
±
p
+
t
±
d,
for point
p
and direction
±
d,
which worked both in
R
2
and
R
3
.
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If we try the same for a plane in
R
3
,
there are two directions in the plane, which we
might write as two slopes:
±
d
1
= [1
, m
1
,
0]
,
(changein
y
, relative to
x
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 Spring '08
 Dodson
 Math, Mon, B. Dodson

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