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

If a=^i+^j+^k,b=^i+^j^k,c=^i^j+^k and d=^i^j^k, then (a×b)×(c×d)=

A
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3^i5^j+7^k
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5^j8^k
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
8^k
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 8^k
a×b
=(^i+^j+^k)×(^i+^j^k)
=2^i+2^j ...(i)
c×d
=(^i^j+^k)×(^i^j^k)
=2^i+2^j ...(ii)
Hence
(2^i+2^j)×(2^i+2^j)
=4^k4^k
=8^k

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