Let PQR be triangle formed by vectors shown in figure.
From figure, the area of is,
Given,
Magitude of cross product is equak to the dot product of two vectors.
i.e.,
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Find the area of parallelogram formed by and .
Given,
Here, ,
∴
Now the area of parallelogram formed by vectors is,
Let PQRS be a parallelogram formed by vectors shown in figure.
From figure, the area of parallelogram PQRS is,
S = PQ. RN
=
Hence the result.