wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The vectors a=3^i2^j+2^k and b=^i2^k are the adjacent sides of a parallelogram.Then,angle between its diagonals is

A
π4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
π3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
π2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
2π3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A π4
The diagonals of the parallelogram are given by
α=a+b and β=±(ab)
α=2^i2^j and β=±(4^i2^j+4^k)
Let θ be the angle between the diagonals. Then,
Cosθ=α.β|α||β|
cosθ=12 or cosθ=12
θ=π4 or θ=3π4

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Some Fundamental Concepts
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon