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

Given that a=^i+^j+^k,b=^i+^j^k,c=^i+^j^k,The values of the following are
i. (a.b)+(b.c)+(c.a)
ii. (a.c)c+(c.b)a

A
i. 3 ii. 2^i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
i. 6 ii. 2^i
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
i. 1 ii. 2^k
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
i. 1 ii. 2^j
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C i. 1 ii. 2^k
i. (a.b)=(^i+^j+^k).(^i^j+^k)=11+1=1
(b.c)=(^i^j+^k).(^i+^j^k)=111=1
(c.a)=(^i+^j^k).(^i+^j+^k)=1+11=1
(a.b)+(b.c)+(c.a)=1

ii. (a.c)c=1(^i+^j^k)=(^i+^j^k)
(c.b)a=1(^i+^j+^k)=^i^j^k
(a.c)c+(c.b)a=2^k

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