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Mathematics
Problem
OABC is a tetrahedron. The position vectors of A, B and C are
i
\mathbf{i}
i
,
i
+
j
\mathbf{i} + \mathbf{j}
i
+
j
and
j
+
k
\mathbf{j} + \mathbf{k}
j
+
k
, respectively. O is origin. The height of the tetrahedron (taking plane ABC as base) is a.
1
2
\frac{1}{2}
2
1
b.
1
2
\frac{1}{\sqrt{2}}
2
1
c.
1
2
2
\frac{1}{2\sqrt{2}}
2
2
1
d. None of these
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