CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
357
You visited us 357 times! Enjoying our articles? Unlock Full Access!
Question

If a,b,c are any three vectors such that (a+b).c=(ab).c=0 then (a×b)×c is

A
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
a
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
b
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 0
(ab).c
=a.cbc
=0
Hence
a.c=b.c
Now
c×(a×b)
=[a(c.b)b(c).(a)]
=[a(c.b)b(b).(c)]
=0

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