Question

Why is the absolute value of the determinant taken while finding the area of a triangle?

पर्याय

• Every determinant is always positive.

• Area is always non-negative.

• \[|A|\ne0\] for every triangle.

• The points must always be collinear.

Answer 1

Area cannot be negative, whereas a determinant can be positive or negative. Therefore, its absolute value is used in the area formula.