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Manipal Entrance Test 2018 Math Paper
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© examsnet.com
Question : 14
Total: 70
If
(
1
2
,
1
3
,
n
)
are the direction cosines of a line, then the value of n is
√
23
6
23
36
2
3
3
2
Validate
Solution:
Since,
(
1
2
,
1
3
,
n
)
are the direction cosines of a line, then
(
1
2
)
2
+
(
1
3
)
2
+
n
2
=
1
⇒
1
4
+
1
9
+
n
2
=
1
⇒
n
2
=
1
−
1
4
−
1
9
=
23
36
⇒
n
=
√
23
6
© examsnet.com
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