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Mathematics
Mathematics
Problem
The three vectors
i
^
+
j
^
,
j
^
+
k
^
\hat{i} + \hat{j}, \hat{j} + \hat{k}
i
^
+
j
^
,
j
^
+
k
^
and
k
^
+
i
^
\hat{k} + \hat{i}
k
^
+
i
^
taken two at a time form three planes. If
V
V
V
be the volume of the tetrahedron having adjacent sides as the three unit vectors drawn perpendicular to those three planes, then find the value of
9
3
V
9\sqrt{3}V
9
3
V
.
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