Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
a
+
2
b
+
3
c
=
0
\mathbf{a} + 2\mathbf{b} + 3\mathbf{c} = \mathbf{0}
a
+
2
b
+
3
c
=
0
, then
a
×
b
+
b
×
c
+
c
×
a
=
\mathbf{a} \times \mathbf{b} + \mathbf{b} \times \mathbf{c} + \mathbf{c} \times \mathbf{a} =
a
×
b
+
b
×
c
+
c
×
a
=
a.
2
(
a
×
b
)
2(\mathbf{a} \times \mathbf{b})
2
(
a
×
b
)
b.
6
(
b
×
c
)
6(\mathbf{b} \times \mathbf{c})
6
(
b
×
c
)
c.
3
(
c
×
a
)
3(\mathbf{c} \times \mathbf{a})
3
(
c
×
a
)
d. 0
Browse the problem library