CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
356
You visited us 356 times! Enjoying our articles? Unlock Full Access!
Question

If a, b, c are non-coplanar vectors, then find the value of a · b ×c c ×a ·b +b · a ×c c · a ×b

Open in App
Solution

We have a.b×cc×a.b +b.a×cc.a×b=a b ccab + b a cc a b By definition of scalar triple product=a b ca b c +-a b ca b cChange of cyclic order of vectors changes the sign of the scalar triple product=1-1=0

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Operations
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon