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=([ab→c]→b−0)→c×→a =[→a→b→c]2 So, [→a×→b→b×→c→c×→a]≠0 as [→a→b→c]≠0 Thus →a→b→c are Non-coplanor.