CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

If the magnitude of the resultant of two vectors of equal magnitudes is equal to the magnitude of either vectors, then the angle between two vectors is

A
125o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
130o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
110o
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
120o
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 120o
According to the question magnitude of the resultant of the two vectors is equal to the magnitude of the either vectors.

So,

Let A and B be given two vectors.

We can write,
|A|=|B|=|R| = x(say)

We know that the magnitude of the vecors is given as
R=A2+B2+2ABcosθ

Or,
x2=x2+x2+2x2cosθ

Or,
x2=2x2cosθ

After solving
cosθ=12

Therefore,
θ=120
Hence the angle between the two vectors is θ=1200


flag
Suggest Corrections
thumbs-up
141
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Operations
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon