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3D Koordinater (elaboreret)
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Expression 105: "D" Subscript, "i" "s" "t" "O" "A" 1 , Baseline equals StartRoot, "A" squared plus "A" squared plus "A" squared , EndRoot
D
i
s
t
O
A
1
=
A
2
1
x
+
A
2
1
y
+
A
2
1
z
105
Krydsprodukt
Krydsprodukt
106
k→ = A→ × B→
k→ = A→ × B→
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107
Bevis: k→ ⊥ A→ og k→ ⊥ B→
Bevis: k→ ⊥ A→ og k→ ⊥ B→
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115
Areal: Δ ABO
Areal: Δ ABO
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120
Krydsprodukt
Krydsprodukt
126
K→ = -b→ × c→
K→ = -b→ × c→
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127
Bevis: K→ ⊥ -b→ og K→ ⊥ c→
Bevis: K→ ⊥ -b→ og K→ ⊥ c→
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136
Areal: Δ ABC
Areal: Δ ABC
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141
Sum og differens
Sum og differens
145
Sum: s→ = A→ + B→
Sum: s→ = A→ + B→
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146
Differens: d→ = B→ - A→
Differens: d→ = B→ - A→
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155
Vinkler
Vinkler
161
∠ AOB = ∠ ( A→ , B→ )
∠ AOB = ∠ ( A→ , B→ )
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162
∠ CAB = ∠ ( -c→ , a→ )
∠ CAB = ∠ ( -c→ , a→ )
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166
∠ ABC = ∠ ( -a→ , b→ )
∠ ABC = ∠ ( -a→ , b→ )
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170
∠ BCA = ∠ ( -b→ , c→ )
∠ BCA = ∠ ( -b→ , c→ )
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175
Vektorlængder
Vektorlængder
180
| A→ |
| A→ |
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181
| B→ |
| B→ |
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183
| C→ |
| C→ |
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185
Vektorlængder
Vektorlængder
187
| D→ |
| D→ |
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188
| E→ |
| E→ |
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190
| F→ |
| F→ |
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192
Vektorlængder
Vektorlængder
194
| a→ |
| a→ |
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195
| b→ |
| b→ |
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197
| c→ |
| c→ |
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199
Punkter
Punkter
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201
a-skyder
a-skyder
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223
b-skyder
b-skyder
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229
c-skyder
c-skyder
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235
Opgave (eksempel)
Opgave (eksempel)
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242
258
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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