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

(a×b).(c×d) is equal to

A
a.{b×(c×d)}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(a.c)(b.d)(a.d)(b.c)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
{(a×b)×c}.d
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
(d×c).(b×a)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct options are
A a.{b×(c×d)}
B (a.c)(b.d)(a.d)(b.c)
C {(a×b)×c}.d
D (d×c).(b×a)
And we can arrange them in circular way. a×(b×c)=(a.c)b(a.b)c
So using the above
(a×b).(c×d)=a.(b×(c×d))=a.((b.d)c(b.c)d)(a×b).(c×d)=(a.c)(b.d)(a.d)(b.c)(a×b).(c×d)={(a×b)×c}.d
(a×b).(c×d)=(d×c).(b×a)

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