If \( a . b \) and \( c \) are any three non-zero vectors, then the component of \( a \times(b \...

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If \( a . b \) and \( c \) are any three non-zero vectors, then the component of \( a \times(b \times c) \) perpendicular to \( b \) is
(a) \( a \times(b \times c)+\frac{(a \times b) \cdot(c \times a)}{|b|^{2}} b \)
(b) \( a \times(b \times c)+\frac{(a \times b) \cdot(a \times b)}{|b|^{2}} b \)
(c) \( a \times(b \times c)+\frac{(b \times c) \cdot(b \times a)}{|b|^{2}} b \)
(d) \( a \times(b \times c)+\frac{(a \times b) \cdot(b \times c)}{|b|^{2}} b \)
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