What is the geometrical interpretation of the determinant of the 3x3 matrix
When three vectors are coplanar then det of coefficients of i, j , k is zero. Also when three lines are concurrent the det of coefficients is zero.
Determinant of 3×3 matrix is equal to twice the area of any triangle with vertices A(p,q),B(r,s),and C(x,y).
1/2[determinant of 3×3 matrix]= area of triangle ABC