# Let x,y and z be three vectors each of magnitude √2 and the angle between each pair of them is π/3 .

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Let $\vec{x},\vec{y}$ and $\vec{z}$ be three vectors each of magnitude √2 and the angle between each pair of them is π/3 . If $\vec{a}$ is a non-zero vector perpendicular to $\vec{x}$ and $\vec{y}\times \vec{z}$ and $\vec{b}$ is a non-zero vector perpendicular to $\vec{y}$ and $\vec{z}\times\vec{x},$ then__

(A) $\vec{b}=(\vec{b}.\vec{z})(\vec{z}-\vec{x})$

(B) $\vec{a}=(\vec{a}.\vec{y})(\vec{y}-\vec{z})$

(C) $\vec{a}.\vec{b}=-(\vec{a}.\vec{y})(\vec{b}.\vec{z})$

(D) $\vec{a}=(\vec{a}.\vec{y})(\vec{z}-\vec{y})$

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(A) $\vec{b}=(\vec{b}.\vec{z})(\vec{z}-\vec{x})$

(B) $\vec{a}=(\vec{a}.\vec{y})(\vec{y}-\vec{z})$

(C) $\vec{a}.\vec{b}=-(\vec{a}.\vec{y})(\vec{b}.\vec{z})$