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

If x×b=c×b and xa, then x is equal to

A
b×(a×c)b.c
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(b×c)×ab.a
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
a×(c×b)a.b
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct options are
B (b×c)×ab.a
C a×(c×b)a.b
x×b=c×b.... {1}
Pre-multiplying both sides of {1} by a, we get
a×(x×b)=a×(c×b)
Simplifying the above equation, we get
(ab)x(ax)b=a×(c×b)
x is perpendicular to a;ax=0
x=a×(c×b)ab
Also, b×x=b×c.... {2}
Post-multiplying both sides of {2} by a, we get
(b×x)×a=(b×c)×a)
Simplifying the above equation, we get
(ab)x(ax)b=a×(c×b)
x is perpendicular to a;ax=0
x=(b×c)×aba
Hence, option B,C.

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