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Let \vec a=\hat\imath+2\hat\jmath+3\hatk, \vec b=\hat\imath-\hat\jmath+2\hatk and \vec c=5\hat\imath-3\hat\jmath+3\hatk be three vectors. If \vec r is a vector such that \vec r*\vec b=\vec c*\vec b and \vec r*\vec a=0, then 25\lvert\vec r\rvert^2 is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.