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Question

Area is a vector quantity. How?

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Solution


Areaofatriangleusingvector;

Δ=12(base)(height)

Δ=12ABsinθ

Δ=ABsinθ2=A×B2

Note: we can also define any surface's area as a vector quantity depends on the requirement. simply define an area as a vector using unit vector tool, i.e.

^a=A|A|

A=|A|^a;where|A|=magnitudeoftheareaand^a=directionofunitvector.


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