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Math 464, Worksheet 12
For this assignment we will assume that
M
,
P
,
D
,
λ
i
and
v
i
are as in Worksheet 11. You should
probably do all your plots on one set of axes.
1. Plot
v
1
. That is: get out graph paper; draw
x
 and
y
axes; draw a dot at the location (1
,
1).
If you want, you can also draw an arrow from the origin to the dot, but this is not necessary.
2. Plot
M
v
1
. Start trying to think of
M
v
1
as the place that
M
moves
v
1
to.
3. Plot
v
2
and
M
v
2
.
4. Plot
v
2

v
1
.
5. Plot
M
(
v
2

v
1
).
6. Plot 3
v
1

3
v
2
.
7. Plot
M
(3
v
1

3
v
2
).
8. Plot the vector
w
=
b

2
2
B
.
9. Solve the equation
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 Fall '08
 DougBullock
 Math

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