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The postion vectors of the vertices of a...

The postion vectors of the vertices of a quadrilateral with A as origin are `B(vecb),D(vecd) and C (l vecb+m vecd)` . Prove that the area of the quadrilateral is `1/2(l+m)|vecb xx vecd|`.

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Area of quandrilateral is `1/2|vec(AC)xxvec(BD)|=1/2|(lvecb+mvecd)xx(vecd-vecb)|`
`= 1/2 |lvecbxxvecd - mvecd xxvecb|`
`=1/2 ( l+m)|vecbxxvecd|`
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