Q)
Let \( \overrightarrow a = 2\hat i + \hat k, \overrightarrow b = \hat i + \hat j + \hat k\) and \( \overrightarrow c = 4\hat i - 3\hat j + 7\hat k\) be three vectors. Find a vector \( \overrightarrow r \) which satisfies \( \overrightarrow r\) x \( \overrightarrow b = \overrightarrow c \) x \( \overrightarrow b\) and \( \overrightarrow r. \overrightarrow a =0.\)
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