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Mathematics
Problem
What is the area of a triangle whose two adjacent sides are represented by vectors
a
\mathbf{a}
a
and
b
\mathbf{b}
b
? a)
∣
a
×
b
∣
|\mathbf{a}\times\mathbf{b}|
∣
a
×
b
∣
b)
1
2
∣
a
×
b
∣
\dfrac12\,|\mathbf{a}\times\mathbf{b}|
2
1
∣
a
×
b
∣
c)
1
2
∣
a
∣
∣
b
∣
\dfrac12\,|\mathbf{a}|\,|\mathbf{b}|
2
1
∣
a
∣
∣
b
∣
d)
1
2
∣
a
⋅
b
∣
\dfrac12\,|\mathbf{a}\cdot\mathbf{b}|
2
1
∣
a
⋅
b
∣
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