Question

If the resultant of two unequal vectors is equal to sum of their magnitudes find the angle between the vectors​

Answer 1

Let  A and B  be two unequal vectors and θ be the angle between them.Therefore according to given :

A+B=√(A²+B²+2ABcos θ)

Squaring on both sides, we get

(A+B)²=A²+B²+2ABcos θ

A²+B²+2AB=A²+B²+2ABcos θ

2AB=2ABCosθ

Cosθ=1

∴ Cosθ=Cos0°

∴  θ=0°

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