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

If the volume of the parallelopiped formed by three non-coplanar vectors a,b and c is 4 cubic units, then [a×b b×c c×a]=

A
64
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
16
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 16
Since the volume of a parallelepiped formed by three non-coplanar vectors a,b,c is 4 cubic units, [a b c]=4
[a×b b×c c×a]
=(a×b).[(b×c)×(c×a)]
=(a×b).[((b×c).a)c((b×c).c)a]
=(a×b).[a b c]c
=c.(a×b)[a b c]
=[a b c]2
=16

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