wiz-icon
MyQuestionIcon
MyQuestionIcon
7
You visited us 7 times! Enjoying our articles? Unlock Full Access!
Question

If a and b are unit vectors, then the greatest value of a+b+ab is

A
22
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
42
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 22
Let θ be the angle between a and b.
Then a.b=cosθ
Now, =a2+b2+2a.b=2+2cosθ=4cos2θ2
a+b=2cosθ2
Similarly, ab=2sinθ2
a+b+ab=2(cosθ2+sinθ2)22

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dot Product
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon