1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
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
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Forms a triangle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
In different plane
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of the above
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
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.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Scalar Multiplication
MATHEMATICS
Watch in App
Explore more
Multiplication of a Vector by a Scalar
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app