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Problem
The dot products of a vector with the vectors
(
i
^
+
j
^
−
3
k
^
)
(\hat{i} + \hat{j} - 3\hat{k})
(
i
^
+
j
^
−
3
k
^
)
,
(
i
^
+
3
j
^
−
2
k
^
)
(\hat{i} + 3\hat{j} - 2\hat{k})
(
i
^
+
3
j
^
−
2
k
^
)
and
(
2
i
^
+
j
^
+
4
k
^
)
(2\hat{i} + \hat{j} + 4\hat{k})
(
2
i
^
+
j
^
+
4
k
^
)
are 0, 5 and 8 respectively. Find the vector. [CBSE 2015]
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