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

If a, b, c are non-coplanar vectors, then a · b ×c c ×a ·b +b · a ×c c · a ×b is equal to
(a) 0
(b) 2
(c) 1
(d) none of these

Open in App
Solution

(a) 0

We havea.b×cc×a.b +b.a×cc.a×b=abccab + baccab By definition of scalar tiple product=abcabc +-abcabc Change in cyclic order of vectors changes the sign of the scalar triple product=1-1=0

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