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Mathematics
Problem
Prove that the four points
4
i
^
+
5
j
^
+
k
^
,
−
(
j
^
+
k
^
)
,
(
3
i
^
+
9
j
^
+
4
k
^
)
4\hat{i} + 5\hat{j} + \hat{k}, -(\hat{j} + \hat{k}), (3\hat{i} + 9\hat{j} + 4\hat{k})
4
i
^
+
5
j
^
+
k
^
,
−
(
j
^
+
k
^
)
,
(
3
i
^
+
9
j
^
+
4
k
^
)
and
4
(
−
i
^
+
j
^
+
k
^
)
4(-\hat{i} + \hat{j} + \hat{k})
4
(
−
i
^
+
j
^
+
k
^
)
are coplanar.
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