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

If a×(a×b)=b×(b×c) and (a.b)0, then [a b c]=

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 0
Let solve LHS
^a×(a×b)=(a.b)a|a|2 b --(1)
RHS = b×(b×c)=(b.c)bb2c --(2)
Equating (1) & (2), we get
(a.b)a|a|2b=(bc)b|b|2c
As a,b and c are linearly dependent,
[a b c]=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Inverse of a Function
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon