To compute the scalar triple product [abc], we first use the determinant representation: [abc]=|
1
0
−1
x
1
1−x
y
x
1+x−y
|. This can be expanded as follows: [abc]=1((1⋅(1+x−y))−(x⋅(1−x)))−1(x2−y) Breaking it down further: =1⋅(1+x−y−x+x2)−(x2−y) Simplifying the expression: =(1+x−y−x+x2)−x2+y =1 The result 1 is independent of the variables x and y. Therefore, the value of the scalar triple product [abc] does not depend on x or y.