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Mathematics
Mathematics
Problem
A line passes through
(
2
,
−
1
,
3
)
(2, -1, 3)
(
2
,
−
1
,
3
)
and is perpendicular to the lines
r
=
(
i
^
+
j
^
−
k
^
)
+
λ
(
2
i
^
−
2
j
^
+
k
^
)
\mathbf{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(2\hat{i} - 2\hat{j} + \hat{k})
r
=
(
i
^
+
j
^
−
k
^
)
+
λ
(
2
i
^
−
2
j
^
+
k
^
)
and
r
=
(
2
i
^
−
j
^
−
3
k
^
)
+
μ
(
i
^
+
2
j
^
+
2
k
^
)
\mathbf{r} = (2\hat{i} - \hat{j} - 3\hat{k}) + \mu(\hat{i} + 2\hat{j} + 2\hat{k})
r
=
(
2
i
^
−
j
^
−
3
k
^
)
+
μ
(
i
^
+
2
j
^
+
2
k
^
)
; obtain its equation.
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