1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Section Formula
The vector ...
Question
The vector
→
a
+
→
b
bisects the angles between the vectors
→
a
and
→
b
if
A
|
→
a
|
=
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
|
→
b
|
=
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
|
→
a
|
=
|
→
b
|
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
→
a
.
→
b
=
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
|
→
a
|
=
|
→
b
|
From the above figure
c
o
s
θ
∣
∣
→
a
+
→
b
∣
∣
|
→
a
|
=
(
→
a
+
→
b
)
⋅
→
a
-------(1)
c
o
s
θ
∣
∣
→
a
+
→
b
∣
∣
∣
∣
→
b
∣
∣
=
(
→
a
+
→
b
)
⋅
→
b
--------(2)
divide (1) by (2)
|
→
a
|
∣
∣
→
b
∣
∣
=
a
2
+
→
a
−
→
b
→
b
2
+
→
a
−
→
b
So,
|
→
a
|
=
∣
∣
→
b
∣
∣
Suggest Corrections
0
Similar questions
Q.
If two vectors
→
a
and
→
b
are such that
|
→
a
.
→
b
|
=
|
→
a
×
→
b
|
, tyhen find the angle between the vectors
→
a
and
→
b
.
Q.
Cosine of an angle between the vectors
→
a
+
→
b
and
→
a
−
→
b
if
|
→
a
|
=
2
,
∣
∣
→
b
∣
∣
=
1
and
→
a
∧
→
b
=
60
o
is
Q.
If
→
a
,
→
b
,
→
c
are vectors such that
→
a
.
→
b
=
→
a
.
→
c
,
→
a
×
→
b
=
→
a
×
→
c
,
→
a
≠
0
, Then show that
→
b
=
→
c
.
Q.
If
→
a
and
→
b
are two vectors, such that
→
a
⋅
→
b
<
0
and
|
→
a
⋅
→
b
|
=
|
→
a
×
→
b
|
, then the angle between vectors
→
a
and
→
b
is
Q.
Three vectors
→
a
,
→
b
,
→
c
. Satisfy the condition
→
a
+
→
b
+
→
c
=
0
. Evaluate
μ
=
→
a
.
→
b
+
→
b
.
→
c
+
→
c
.
→
a
, if
|
→
a
|
=
1
;
∣
∣
→
b
∣
∣
=
4
;
|
→
c
|
=
2
.
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
Section Formula
MATHEMATICS
Watch in App
Explore more
Section Formula
Standard X 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