What is the determinant of the cross product of a vector Vector s = vector N1 × vector N2 n1(1,-1,0) n2(0,2,1) |i j k | s=|1 -1 0 | =-i-j+2k |0 2 1 | How to calculate? I use the third-order determinant method to do it. It's wrong Is it wrong in the book I did (- 1-2) I - (1-0) j + (2-0) J I should be - 3

What is the determinant of the cross product of a vector Vector s = vector N1 × vector N2 n1(1,-1,0) n2(0,2,1) |i j k | s=|1 -1 0 | =-i-j+2k |0 2 1 | How to calculate? I use the third-order determinant method to do it. It's wrong Is it wrong in the book I did (- 1-2) I - (1-0) j + (2-0) J I should be - 3

I should be - 1
-1 * 1-0 * 2 = - 1