Two vectors `vecA` and `vecB` are defined as `vecA=ahati` and `vecB

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Two vectors `vecA` and `vecB` are defined as `vecA=ahati` and `vecB=a( cos omegahati+sin omega hatj)`, were a is a constant and `omega=pi//6 rads^(-1)`. If `|vecA+vecB|=sqrt(3)|vecA-vecB|` at time `t=tau` for the first time, the value of `tau`, in seconds , is _________
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