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Byju's Answer
Standard XII
Mathematics
Dot Product
The points wh...
Question
The points whose position vectors are
5
ˆ
i
+
5
ˆ
k
,
2
ˆ
i
+
ˆ
j
+
3
ˆ
k
and
−
4
ˆ
i
+
3
ˆ
j
−
ˆ
k
are collinear.
A
True
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B
False
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Solution
The correct option is
A
True
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Similar questions
Q.
Show that the points whose position vectors are
a
→
=
4
i
^
-
3
j
^
+
k
^
,
b
→
=
2
i
^
-
4
j
^
+
5
k
^
,
c
→
=
i
^
-
j
^
form a right triangle.
Q.
Show the each of the following triads of vectors are coplanar:
(i)
a
→
=
i
^
+
2
j
^
-
k
^
,
b
→
=
3
i
^
+
2
j
^
+
7
k
^
,
c
→
=
5
i
^
+
6
j
^
+
5
k
^
(ii)
a
→
=
-
4
i
^
-
6
j
^
-
2
k
^
,
b
→
=
-
i
^
+
4
j
^
+
3
k
^
,
c
→
=
-
8
i
^
-
j
^
+
3
k
^
(iii)
a
^
=
i
^
-
2
j
^
+
3
k
^
,
b
^
=
-
2
i
^
+
3
j
^
-
4
k
^
,
c
^
=
i
^
-
3
j
^
+
5
k
^
Q.
A force
P
=
4
i
−
3
k
passes through the point A whose position vector is
2
i
−
2
j
+
5
k
.
Find the moment of P about the point B whose position vector is
i
−
3
j
+
k
.
Q.
Show that the points whose position vectors are
-
2
i
^
+
3
j
^
,
i
^
+
2
j
^
+
3
k
^
and
7
i
^
-
k
^
are collinear.
Q.
The triangle formed by the three points whose position vectors are
2
i
+
4
j
−
k
,
4
i
+
5
j
+
k
and
3
i
+
6
j
−
3
k
, is
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