If , and is the angle between and , then the value of is equal…

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

Problem

If x+y+z=0\mathbf{x} + \mathbf{y} + \mathbf{z} = 0, ∣x∣=∣y∣=∣z∣=2|\mathbf{x}| = |\mathbf{y}| = |\mathbf{z}| = 2 and θ\theta is the angle between y\mathbf{y} and z\mathbf{z}, then the value of csc⁡2θ+cot⁡2θ\csc^2 \theta + \cot^2 \theta is equal to (1) 4/34/3 (2) 5/35/3 (3) 1/31/3 (4) 1

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