1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Collinear Vectors
Let a⃗ and b⃗...
Question
Let
→
a
and
→
b
be two vectors with
|
→
a
|
=
13
,
|
→
b
|
=
19
and
|
→
a
−
→
b
|
=
22.
The value of
|
→
a
+
→
b
|
is
A
16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
18
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
24
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
24
As we know that
|
→
a
+
→
b
|
2
+
|
→
a
−
→
b
|
2
=
2
(
|
→
a
|
2
+
|
→
b
|
2
)
⇒
|
→
a
+
→
b
|
2
=
2
(
13
2
+
19
2
)
−
22
2
=
1060
−
484
=
576
⇒
|
→
a
+
→
b
|
=
24
Suggest Corrections
0
Similar questions
Q.
Let
→
a
and
→
b
be two unit vectors. the maximum value of
∣
∣
→
a
+
→
b
∣
∣
2
−
∣
∣
→
a
−
→
b
∣
∣
2
∣
∣
→
a
+
→
b
∣
∣
2
+
∣
∣
→
a
−
→
b
∣
∣
2
is equal to
Q.
Let
→
A
=
→
b
×
→
c
,
→
B
=
→
c
×
→
a
,
→
C
=
→
a
×
→
b
, then the vectors
→
A
×
(
→
B
×
→
C
)
,
→
B
×
(
→
C
×
→
A
)
, and
→
C
×
(
→
A
×
→
B
)
are
Q.
If
→
a
and
→
b
are perpendicular vectors,
|
→
a
+
→
b
|
=
13
and
|
→
a
|
=
5
, find the value of
|
→
b
|
.
Q.
Show that
|
→
a
|
→
b
+
|
→
b
|
→
a
is perpendicular to
|
→
a
|
→
b
−
|
→
b
|
→
a
for any two nonzero vectors
→
a
and
→
b
Q.
Show that
|
→
a
|
→
b
+
|
→
b
|
→
a
is perpendicular to
|
→
a
|
→
b
−
|
→
b
|
→
a
, for any two nonzero vectors
→
a
and
→
b
.
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
MATHEMATICS
Watch in App
Explore more
Collinear Vectors
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