CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The vectors ¯¯¯¯¯¯¯¯AB=¯¯¯¯¯3i¯¯¯¯¯2j+¯¯¯¯¯¯2k and ¯¯¯¯¯¯¯¯BC=¯i¯¯¯¯¯¯2k are the adjacent sides of a parallelogram. The angle between its diagonals is

A
π2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
π3 or 2π3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3π4 or π4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5π6 or π6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 3π4 or π4
let diagonals be AC and BD

AC=AB+BC=2i2j

BD=BC+CD=BCAB=4i+2j4k
cosφ=ACBDACBD=84226

cosφ=12

φ=π4 or 3π4

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Vector Intuition
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon