Two vectors and are such that and

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

Two vectors a\mathbf{a} and b\mathbf{b} are such that a+b=c\mathbf{a}+\mathbf{b}=\mathbf{c} and a2+b2=c2a^2+b^2=c^2. If θ\theta is the angle between the positive directions of a\mathbf{a} and b\mathbf{b}, then the correct statement is: (1) θ=π\theta=\pi (2) θ=2π3\theta=\frac{2\pi}{3} (3) θ=0\theta=0 (4) θ=π2\theta=\frac{\pi}{2}

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