(iv) Can the magnitude of resultant of two vectors of the same magnitude
be equal to the magnitude of either of the vectors? Explain
mathematically
Answers
Answered by
5
Answer:
Yes, if the angle between the vectors is 120 degrees. In this situation, the two vectors and their sum (resultant) will form an equilateral triangle.
Explanation:
According to the question,
R=A=√A^2+A^2+2A.Acosθ
A^2=A^2+A^2+2A.Acosθ
A^2=2A^2+2A^2cosθ
1=2(1+cosθ)
1+cosθ=1/2
cosθ=−1/2=−0.5
θ=cos−1(−0.5)
θ=120°
Similar questions