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Byju's Answer
Standard XII
Mathematics
Direction Cosines
If P⃗ 1,5,4...
Question
If
→
P
(
1
,
5
,
4
)
and
→
Q
(
4
,
−
1
,
−
2
)
. Find the direction ratio
→
P
Q
.
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Solution
−
−
→
P
Q
=
→
Q
−
→
P
=
(
4
−
1
)
^
i
+
(
−
1
−
5
)
^
j
+
(
−
2
−
4
)
^
k
=
3
^
i
−
6
^
j
−
6
^
k
Direction Ratios are { 3, -6, -6}
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Similar questions
Q.
If
→
P
(
1
,
5
,
4
)
and
→
Q
(
4
,
−
1
,
−
2
)
, find the direction ratio of
→
P
Q
Q.
Find the unit vector in the direction of vector
→
P
Q
, where
P
and
Q
are the points
(
1
,
2
,
3
)
and
(
4
,
5
,
6
)
, respectively
Answer required
Q.
The position vectors of points
→
A
,
→
B
,
→
C
are respectively
→
a
,
→
b
,
→
c
. If
P
divides
→
A
B
in the ratio
3
:
4
and
Q
divides
→
B
C
in the ratio
2
:
1
both externally then
→
P
Q
is
Q.
Find the direction ratios of a vector perpendicular to the lines whose direction ratios are
−
2
,
1
,
1
and
−
3
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−
4
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Q.
If the direction ratios of a line are (1, 1, 2), then find the direction cosines of the line.
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