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

If A×B=B×C=C×A then A+B+C is equal to:

A
zero.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
sum of magnitudes.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
twice of the sum of magnitudes.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
unity.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B zero.
A×B=B×C=C×A
Let, A+B+C=D
Taking cross product at both sides with A.
A×A+B×A+C×A=D×A0A×B+C×A=D×AD×A=0
Similarly, D×B=0 and D×C=0
Hence, D=0

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