The area of the quadrilateral with vertices and is equal to

Question

The area of the quadrilateral  with vertices  and  is equal to

Canvas Classes · Accepted Answer

🧠 Check if  Is a Special Quadrilateral — Then Use the Diagonal Formula

Read the question. Four points in 3D, area of quadrilateral .

First step: is this a parallelogram? Check if . If not, is it a trapezium (one pair of parallel sides)? Are the four points coplanar? In a 3D quadrilateral question, the diagonal-formula  only works if the four points are coplanar — so test coplanarity first via the scalar triple product .

If coplanar, the diagonal formula gives the area in one step. If not cop

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