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! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
120
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
150
No worries! Weâ€˜ve got your back. Try BYJUâ€˜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) =sin120∘1+cos120∘=1.732 Which gives α=60∘. Hence the correct choice is (a)

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program