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Let \(\vec a = 2\hat i - 7\hat j + 5\hat k\), \(\vec b = \hat i + \hat k\) and \(\vec c = \hat i + 2\hat j - 3\hat k\) be three given vectors. If \(\vec r\) is a vector such that \(\vec r * \vec a = \vec c * \vec a\) and \(\vec r * \vec b = 0\), then \(|\vec r|\) is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.