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Mathematics
Problem
The direction cosines of a vector are in the ratio
3
:
4
:
12
3:4:12
3
:
4
:
12
, and its magnitude is
15
15
15
. Which of the following gives its components
(
v
x
,
v
y
,
v
z
)
(v_x, v_y, v_z)
(
v
x
,
v
y
,
v
z
)
? a)
(
45
19
,
60
19
,
180
19
)
\left(\dfrac{45}{19},\;\dfrac{60}{19},\;\dfrac{180}{19}\right)
(
19
45
,
19
60
,
19
180
)
b)
(
45
,
60
,
180
)
(45,\;60,\;180)
(
45
,
60
,
180
)
c)
(
45
13
,
60
13
,
180
13
)
\left(\dfrac{45}{13},\;\dfrac{60}{13},\;\dfrac{180}{13}\right)
(
13
45
,
13
60
,
13
180
)
d)
(
3
13
,
4
13
,
12
13
)
\left(\dfrac{3}{13},\;\dfrac{4}{13},\;\dfrac{12}{13}\right)
(
13
3
,
13
4
,
13
12
)
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