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A DeltaOAB is determined by the vectors ...

A `DeltaOAB` is determined by the vectors `vec(a)` and `vec(b)` as shown in the figure. Show that the triangle has the area is given by

`Delta = (1)/(2)sqrt(|vec(a)|^(2)|vec(b)|^(2) - (vec(a).vec(b))^(2))`.

Text Solution

Verified by Experts

The correct Answer is:
`rArr Delta = (1)/(2)sqrt(|vec(a)|^(2)|vec(b)|^(2) - (vec(a).vec(b))^(2))`
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