Let $\vec{a},\vec{b}and\vec{c}$ be three units vectors such that $2\vec{a}+4\vec{b}+5\vec{c}=0.$ Then which of the following statement is true? a. $\vec{a}$ is parallel to $\vec{b}$ b. $\vec{a}$ is perpendicular to $\vec{b}$ c. $\vec{a}$ is neither parallel nor perpendicular to $\vec{b}$ d. none of these

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