CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
Question

The magnitude of the resultant of two equal vectors is equal to the magnitude of either vector. The angle between the resultant and either vector will be

A
60
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
90
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
120
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
150
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 60
From the triangle law of vector addition, it is clear that the vectors R, A and B must be represented by the three sides of an equilateral triangle because the magnitudes of the three vectors are equal. Hence the angle α between vectors R and A is 60. Alternatively, the value of α is given by
tanα=BsinθA+Bcosθ=sinθ1+cosθ(A=B)
=sin1201+cos120=1.732
Which gives α=60.
Hence the correct choice is (a)

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