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Mathematics
Mathematics
Problem
If the volume of a parallelepiped whose adjacent edges are
a
=
2
i
^
+
3
j
^
+
4
k
^
,
b
=
i
^
+
α
j
^
+
2
k
^
,
c
=
i
^
+
2
j
^
+
α
k
^
a = 2\hat{i} + 3\hat{j} + 4\hat{k}, b = \hat{i} + \alpha\hat{j} + 2\hat{k}, c = \hat{i} + 2\hat{j} + \alpha\hat{k}
a
=
2
i
^
+
3
j
^
+
4
k
^
,
b
=
i
^
+
α
j
^
+
2
k
^
,
c
=
i
^
+
2
j
^
+
α
k
^
is 15, then find the value of
α
\alpha
α
, where
α
>
0
\alpha > 0
α
>
0
.
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