Let non-zero vectors and satisfy and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let non-zero vectors r\mathbf{r} and s\mathbf{s} satisfy ∣r∣=∣s∣|\mathbf{r}|=|\mathbf{s}| and ∣r+s∣=3 ∣r−s∣|\mathbf{r}+\mathbf{s}|=\sqrt{3}\,|\mathbf{r}-\mathbf{s}|. The angle between r\mathbf{r} and s\mathbf{s} is (a) 120∘120^{\circ} (b) 30∘30^{\circ} (c) 60∘60^{\circ} (d) 90∘90^{\circ}

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