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Mathematics
Problem
The number of integral values of
p
p
p
for which the vectors
(
p
+
1
)
i
^
−
3
j
^
+
p
k
^
(p+1)\hat{i} - 3\hat{j} + p\hat{k}
(
p
+
1
)
i
^
−
3
j
^
+
p
k
^
,
p
i
^
+
(
p
+
1
)
j
^
−
3
k
^
p\hat{i} + (p+1)\hat{j} - 3\hat{k}
p
i
^
+
(
p
+
1
)
j
^
−
3
k
^
, and
−
3
i
^
+
p
j
^
+
(
p
+
1
)
k
^
-3\hat{i} + p\hat{j} + (p+1)\hat{k}
−
3
i
^
+
p
j
^
+
(
p
+
1
)
k
^
are linearly dependent is a. 0 b. 1 c. 2 d. 3
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