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
Answer: Option A
:
A
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)
Was this answer helpful ?
:
A
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)
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution