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Question

Mathematics Question on Vectors

Let a\overrightarrow a and b\overrightarrow b be two unit vectors and θ is the angle between them. Then a+b\overrightarrow a +\overrightarrow b is a unit vector if

A

θ=π4θ=\frac{π}{4}

B

θ=π3θ=\frac{π}{3}

C

θ=2π3θ=\frac{2π}{3}

D

θ=π2θ=\frac{π}{2}

Answer

θ=2π3θ=\frac{2π}{3}

Explanation

Solution

The correct answer is Option (C) : θ=2π3θ=\frac{2π}{3}