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Question

Mathematics Question on Vectors

If the unit vectors a\vec{a} and b\vec{b} are inclined at an angle 2θ such that ab<1|\vec{a}-\vec{b}|\lt 1 and 0θπ0 \leq \theta \leq \pi, then θ lies in the interval.

A

[0, π/2]

B

[5π/6,π]

C

[π/6,π/2]

D

[π/2,5π/6]

Answer

[5π/6,π]

Explanation

Solution

The correct answer is(B): [5π/6,π]