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If $|A×B|=3$ , and each of $A$ And and $B$ is parallel to the plane $YZ$ , Find $A×B$

$A×B$ is Cross product of vectors

user373141
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    $A\times B$ is a vector perpendicular to both $A$ and $B$. Since $|A\times B|=3\neq0$ the vectors $A$ and $B$ are not parallel to each other. Therefore $A\times B$ is perpendicular to the plane $YZ$, i.e. it belongs to the $X$ axis. Therefore $A\times B$ is either $(3,0,0)$ or $(-3,0,0)$. – EEE Oct 14 '17 at 18:06

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$A\times B$ is parallel to $X$ axis and as its module is $3$ it can be

$(3,0,0)$ or $(-3,0,0)$

Raffaele
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