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Mathematics
Problem
A line passes through the points whose position vectors are
i
^
+
j
^
−
2
k
^
\hat{i} + \hat{j} - 2\hat{k}
i
^
+
j
^
−
2
k
^
and
i
^
−
3
j
^
+
k
^
\hat{i} - 3\hat{j} + \hat{k}
i
^
−
3
j
^
+
k
^
. The position vector of a point on it at unit distance from the first point is a.
1
5
(
5
i
^
+
j
^
−
7
k
^
)
\frac{1}{5}(5\hat{i} + \hat{j} - 7\hat{k})
5
1
(
5
i
^
+
j
^
−
7
k
^
)
b.
1
5
(
4
i
^
+
9
j
^
−
15
k
^
)
\frac{1}{5}(4\hat{i} + 9\hat{j} - 15\hat{k})
5
1
(
4
i
^
+
9
j
^
−
15
k
^
)
c.
(
i
^
−
4
j
^
+
3
k
^
)
(\hat{i} - 4\hat{j} + 3\hat{k})
(
i
^
−
4
j
^
+
3
k
^
)
d.
1
5
(
i
^
−
4
j
^
+
3
k
^
)
\frac{1}{5}(\hat{i} - 4\hat{j} + 3\hat{k})
5
1
(
i
^
−
4
j
^
+
3
k
^
)
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