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Byju's Answer
Standard XII
Mathematics
Rotation Concept
Distance from...
Question
Distance from point
(
−
^
i
+
2
^
j
+
6
^
k
)
to straight line through point
(
2
,
3
,
−
4
)
and parallel to vector
6
^
i
+
3
^
j
−
4
^
k
.
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Solution
L
1
:
x
−
2
6
=
y
−
3
3
=
z
+
4
−
4
(
−
1
,
2
,
6
)
−
−
→
P
Q
=
(
6
r
+
3
,
3
r
+
1
,
−
4
r
−
10
)
is parallel to :
6
(
6
r
+
3
)
+
3
(
3
r
+
1
)
−
4
(
−
4
r
−
10
)
=
0
61
r
+
61
=
0
r
=
−
1
P
Q
=
√
(
3
)
2
+
(
2
)
2
+
(
6
)
2
=
√
49
=
7
Hence,
We get
7
.
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0
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