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Mathematics
Mathematics
Problem
The volume of the tetrahedron whose vertices are the points with position vectors
i
^
+
j
^
+
k
^
\hat{i} + \hat{j} + \hat{k}
i
^
+
j
^
+
k
^
,
−
i
^
−
3
j
^
+
7
k
^
-\hat{i} - 3\hat{j} + 7\hat{k}
−
i
^
−
3
j
^
+
7
k
^
,
i
^
+
2
j
^
−
7
k
^
\hat{i} + 2\hat{j} - 7\hat{k}
i
^
+
2
j
^
−
7
k
^
and
3
i
^
−
4
j
^
+
λ
k
^
3\hat{i} - 4\hat{j} + \lambda\hat{k}
3
i
^
−
4
j
^
+
λ
k
^
is 22, then the digit at unit place of
λ
\lambda
λ
is.
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