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Standard XII
Mathematics
Direction Cosines
If a line mak...
Question
If a line makes angles of 90°, 60° and 30° with the positive direction of x, y, and z-axis respectively, find its direction cosines.
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Solution
Let the direction cosines of the line be l, m, n.
Now,
l
=
cos
90
0
=
0
m
=
cos
60
0
=
1
2
n
=
cos
30
0
=
3
2
Therefore
,
the
direction
cosines
of
the
line
are
0
,
1
2
,
3
2
.
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