If $l_1, m_1, n_1$ and $l_2, m_2, n_2$ are the direction cosines of two perpendicular lines,then the direction cosines of the line which is perpendicular to both the lines will be:

  • A
    $(m_1n_2 - m_2n_1), (n_1l_2 - n_2l_1), (l_1m_2 - l_2m_1)$
  • B
    $(l_1l_2 - m_1m_2), (m_1m_2 - n_1n_2), (n_1n_2 - l_1l_2)$
  • C
    $\frac{1}{\sqrt{l_1^2 + m_1^2 + n_1^2}}, \frac{1}{\sqrt{l_2^2 + m_2^2 + n_2^2}}, \frac{1}{\sqrt{3}}$
  • D
    $\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}$

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