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Mathematics
Problem
If
a
=
2
i
^
+
3
j
^
−
5
k
^
\mathbf{a} = 2\hat{i} + 3\hat{j} - 5\hat{k}
a
=
2
i
^
+
3
j
^
−
5
k
^
and
b
=
m
i
^
+
n
j
^
+
12
k
^
\mathbf{b} = m\hat{i} + n\hat{j} + 12\hat{k}
b
=
m
i
^
+
n
j
^
+
12
k
^
and
a
×
b
=
0
\mathbf{a} \times \mathbf{b} = \mathbf{0}
a
×
b
=
0
. Then, find the values of
m
m
m
and
n
n
n
.
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