wiz-icon
MyQuestionIcon
MyQuestionIcon
8
You visited us 8 times! Enjoying our articles? Unlock Full Access!
Question

If the vectors a,b, c are non-coplanar then the vectors a×b,b×c, c×a are

A
Coplanar
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Non-coplanar
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Orthogonal
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Collinear
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B Non-coplanar
Let given vectors are collinear then,
[a×b b×c c×a]=0
=(a×b×b×c)c×a=([abc]b0)c×a
=[abc]2
So,
[a×b b×c c×a]0 as [abc]0
Thus a b c are Non-coplanor.

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