Match List-I with List-II List-I | List-II (A) If vector \(\vec a\) and \(\vec b\) are such that \(\vec a=\lambda\vec b\) and \(|\vec a|=|\vec b|\), then | (I) \(\vec a\) and \(\vec b\) are orthogonal (B) Projection vector of \(\vec a\) on \(\vec b\) | (II) [0,12] (C) \(\vec a\) and \(\vec b\) are non-zero vectors such that \(|\vec a+\vec b|=|\vec a-\vec b|\) then | (III) \(\vec a=\pm\vec b\) (D) If \(|\vec a|=4,\ -3\le\lambda\le2\), then the range of \(|\lambda\vec a|\) | (IV) \(\left(\frac{\vec a\cdot\vec b}{|\vec b|^2}\right)\vec b\) Choose the correct answer from the options given below: