If a neq 0, b neq 0, c neq 0, a times b = 0 a | vedclass

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(C) Given that $a 
eq 0, b 
eq 0, c 
eq 0$ and $a 	imes b = 0, b 	imes c = 0$. Since $a 	imes b = 0$, it implies that vector $a$ is parallel to

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$0$

Vedclass · Answer

(C) Given that $a 
eq 0, b 
eq 0, c 
eq 0$ and $a 	imes b = 0, b 	imes c = 0$. Since $a 	imes b = 0$, it implies that vector $a$ is parallel to vector $b$. Since $b 	imes c = 0$, it implies that vector $b$ is parallel to vector $c$. By the transitive property of parallel vectors, if $a \parallel b$ and $b \parallel c$, then $a \parallel c$. Therefore, the cross product of two parallel vectors is zero, so $a 	imes c = 0$.

If $a \neq 0, b \neq 0, c \neq 0, a \times b = 0$ and $b \times c = 0$, then $a \times c$ is equal to

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