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Mathematics
Problem
If the vectors
2
i
−
j
+
k
,
i
+
2
j
−
3
k
2 \boldsymbol{i} - \boldsymbol{j} + \boldsymbol{k}, \boldsymbol{i} + 2 \boldsymbol{j} - 3 \boldsymbol{k}
2
i
−
j
+
k
,
i
+
2
j
−
3
k
and
3
i
+
a
j
+
5
k
3 \boldsymbol{i} + a \boldsymbol{j} + 5 \boldsymbol{k}
3
i
+
a
j
+
5
k
are coplanar, then prove that
a
=
4
a = 4
a
=
4
.
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