Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
a
=
2
i
^
+
3
j
^
−
k
^
\mathbf{a} = 2\hat{i} + 3\hat{j} - \hat{k}
a
=
2
i
^
+
3
j
^
−
k
^
,
b
=
−
i
^
+
2
j
^
−
4
k
^
\mathbf{b} = -\hat{i} + 2\hat{j} - 4\hat{k}
b
=
−
i
^
+
2
j
^
−
4
k
^
,
c
=
i
^
+
j
^
+
k
^
\mathbf{c} = \hat{i} + \hat{j} + \hat{k}
c
=
i
^
+
j
^
+
k
^
, then find the value of
(
a
×
b
)
⋅
(
a
×
c
)
(\mathbf{a} \times \mathbf{b}) \cdot (\mathbf{a} \times \mathbf{c})
(
a
×
b
)
⋅
(
a
×
c
)
.
Browse the problem library