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

If the vector a=^i^j+2^k.
b=2^i+4^j+^k and c=λ^i+^j+μ^k are mutually orthogonal, then (λ,μ)=

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

The correct option is A (3,2)
Three vector are orthogonal So,
ab=0,bc=0,cda=0
5c=02λ+4+μ=0
ca=0λ1+2μ=0
Solving three equs. we get λ=3,μ=2
option A is correct

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Jumping to Details
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon