MCQ
Three vectors $\vec{a}, \vec{b}$ and $\vec{c}$ satisfy the relation $\vec{a} \cdot \vec{b}=0$ and $\vec{a} \cdot \vec{c}=0$. The vector $\vec{a}$ is parallel to
  • A
    $\vec{b}$
  • B
    $\vec{c}$
  • C
    $\vec{b} \cdot \vec{c}$
  • $\vec{b} \times \vec{c}$

Answer

Correct option: D.
$\vec{b} \times \vec{c}$
(d) $\vec{a} \cdot \vec{b}=0$ i.e. $\vec{a}$ and $\vec{b}$ will be perpendicular to each other $\vec{a} \cdot \vec{c}=0$ i.e. $\vec{a}$ and $\vec{c}$ will be perpendicular to each other

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