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

If a,b, c are non-zero, non-coplanar vectors then {a×(b+c)}×{b×(ca)} is collinear with the vector

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

The correct option is C abc
¯¯¯p×(¯¯¯qׯ¯¯r)=(¯¯¯p.¯¯¯r)¯¯¯q(¯¯¯p.¯¯¯q)¯¯¯r
Thus, we have the given expression equal to
¯¯¯a×(¯¯b+¯¯c).(¯¯c¯¯¯a)¯¯b(¯¯¯a×(¯¯b+¯¯c).¯¯b)(¯¯c¯¯¯a)
=[¯¯¯a¯¯b¯¯c]¯¯b+[¯¯¯a¯¯b¯¯c](¯¯c¯¯¯a)
=[¯¯¯a¯¯b¯¯c](¯¯¯a¯¯b¯¯c)

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