Two vectors are defined as 𝐴 ⃗=𝑎 𝑖 ̂ and 𝐵 ⃗=𝑎(𝑐𝑜𝑠〖𝜔𝑡 𝑖 ̂ 〗+𝑠𝑖𝑛〖𝜔𝑡 𝑗〗 ), where a is a constant and 𝜔=𝜋/6 rad/sec. If |𝐴+𝐵|= √3|𝐴−𝐵| at time t = t0 for the first time, then the value of t0, in seconds is _____. [IIT JEE Adv 2018]
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