1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Angle between Two Planes
If a line has...
Question
If a line has the direction ratios
−
18
,
12
,
−
4
, then what are its direction cosines?
Open in App
Solution
If a line has direction ratios of
−
18
,
12
and
−
4
, then its direction cosines are
−
18
√
(
−
18
)
2
+
(
12
)
2
+
(
−
4
)
2
,
12
√
(
−
18
)
2
+
(
12
)
2
+
(
−
4
)
2
,
−
4
√
(
−
4
)
2
+
(
12
)
2
+
(
−
4
)
2
i.e.,
−
18
22
,
12
22
,
−
4
22
≡
9
11
,
6
11
,
−
2
11
Thus, the direction cosines are
−
9
11
,
6
11
and
−
2
11
.
Suggest Corrections
3
Similar questions
Q.
If a line has direction ratios
2
,
−
1
,
−
2
, then what are its direction cosines?
Q.
If a line has the direction ratios
4
,
−
12
,
18
then find its direction cosines.
Q.
If a line has the direction ratio
18
,
12
,
4
, then its direction cosines are:
Q.
If a line has direction ratios
2
,
−
1
,
−
2
, determine its direction cosines.
Q.
If the direction ratios of a line are (1, 1, 2), then find the direction cosines of the line.