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NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
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Let $\vec a$ and $\vec b$ be two unit vectors such that $|\vec a - \vec b|<2.$ If 2θ is the angle between $\vec a$ and $\vec b,$ then which one of the following is correct ?
A
0 ≤ sin θ < 1 only
B
$-\frac{1}{2} < \sin \theta < \frac{1}{2} \ \text{only}$
C
-1 < sin θ < 0 only
D
-1 < sin θ < 1
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