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

If a,b, c are non-coplanar vectors and λ is a real number, then [λ(a+b)λ2bλc]=[ab+cb] for

A
Exactly two values of λ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Exactly three values of λ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
No vlaue of λ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Exactly one value of λ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C No vlaue of λ
λ(a+b).(λ3b×c)=λ4(abc) ----(1)
a.((b+c)×b)=a.c×b ----(2)
equal (1) & (2)
λ4=1
So λ can't be real.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Crop Production Improvement
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon