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

If a×(b×c)=(a×b)×c for non-coplanar vectors a, b, c then

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

The correct option is C c parallel to a
Now, according to the vector cross product rule,
a×(b×c)=(a.c)b(a.b)c................(1)
and
(a×b)×c=(a.c)b(b.c)a ..............(2)
Equating both the equations we get,
(a.b)c=(b.c)a
c is parallel to a.

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