Find the area of the triangle formed by O, A, B when
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Given
and
are two adjacent sides of a triangle.

Recall the area of the triangle whose adjacent sides are given by the two vectors
and
is
where

Here, we have (a1, a2, a3) = (1, 2, 3) and (b1, b2, b3) = (–3, –2, 1)

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Recall the magnitude of the vector
is
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Now, we find
.
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Thus, area of the triangle is
square units.
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