Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
State the sign (positive or negative) of the determinant
det
(
x
1
y
1
1
x
2
y
2
1
x
3
y
3
1
)
\det\begin{pmatrix}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{pmatrix}
det
x
1
x
2
x
3
y
1
y
2
y
3
1
1
1
when the vertices
(
x
1
,
y
1
)
(x_1,y_1)
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
(x_2,y_2)
(
x
2
,
y
2
)
and
(
x
3
,
y
3
)
(x_3,y_3)
(
x
3
,
y
3
)
of a triangle are taken in counter-clockwise order.
Browse the problem library