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Area of a Triangle Using Vectors

zivar sushu

1898 Qn | 1904 Ans | 20324 Score

How can the area of a triangle in 3D space be calculated using vectors

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zivar sushu

1898 Qn | 1904 Ans | 20.3K Score

Compute the cross product of two vectors representing the triangle's sides and take half the magnitude:
$ \text{Area} = \frac{1}{2} || \textbf{AB} \times \textbf{AC} ||. $

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