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

If for two vector ,A and B, sum (A+B) is perpendicular to the difference (AB). The ratio of their magnitude is

A
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 1
(A+B) is perpendicular to (AB)
Thus, (A+B).(AB)=0

Commutative property of dot product A.B=B.A
A2A.B+B.AB2=0A2B2=0A=± B

Thus the ratio of magnitudes:
AB=1 (since , magnitude cannot be negative)

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