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 representedby the three sides of an equilateral triangle because the magnitudes of the three vectors are equal. Hencethe angle α between vectors R and A is 60∘. Alternatively, the value of αis given by
tanα=BsinθA+Bcosθ=sinθ1+cosθ(∵A=B)
=sin120∘1+cos120∘=1.732
Which gives α=60∘.
Hence the correct choice is (a)
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:
A
From the triangle law of vector addition, it is clear that the vectors R, A and B must be representedby the three sides of an equilateral triangle because the magnitudes of the three vectors are equal. Hencethe angle α between vectors R and A is 60∘. Alternatively, the value of αis given by
tanα=BsinθA+Bcosθ=sinθ1+cosθ(∵A=B)
=sin120∘1+cos120∘=1.732
Which gives α=60∘.
Hence the correct choice is (a)
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