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Byju's Answer
Standard XII
Mathematics
Multiplication of a Vector by a Scalar
There are thr...
Question
There are three points with position vectors
−
2
a
+
3
b
+
5
c
,
a
+
2
b
+
3
c
and
7
a
−
c
. What is the relation between the three points?
A
Collinear
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B
Forms a triangle
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C
In different plane
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D
None of the above
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Solution
The correct option is
A
Collinear
The relation between the three points are collinear
Thus option A is correct answer
Suggest Corrections
0
Similar questions
Q.
The three points A, B, C with position vectors
−
2
a
+
3
b
+
5
c
,
a
+
2
b
+
3
c
,
7
a
−
c
Q.
If
a
→
,
b
→
,
c
→
are non-zero, non-coplanar vectors, prove that the following vectors are coplanar:
(i)
5
a
→
+
6
b
→
+
7
c
,
→
7
a
→
-
8
b
→
+
9
c
→
and
3
a
→
+
20
b
→
+
5
c
→
(ii)
a
→
-
2
b
→
+
3
c
→
,
-
3
b
→
+
5
c
→
and
-
2
a
→
+
3
b
→
-
4
c
→
Q.
7
→
a
−
→
c
divides the join of points given by the position vectors
→
a
+
2
→
b
+
3
→
c
and
−
2
→
a
+
3
→
b
+
5
→
c
in the ratio
Q.
If the position vectors of three points are
→
a
−
2
→
b
+
3
→
c
,
2
→
a
+
3
→
b
+
4
→
c
,
−
7
→
b
+
10
→
c
, then the three points are
Q.
Show that the points A, B, C with position vectors
a
→
-
2
b
→
+
3
c
→
,
2
a
→
+
3
b
→
-
4
c
→
and
-
7
b
→
+
10
c
→
are collinear.
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