The direction cosines of a line equally inclined to three mutually perpendicular lines having direction cosines as ${{l}_{1}},{{m}_{1}},{{n}_{1}};{{l}_{2}},{{m}_{2}},{{n}_{2}}$ and ${{l}_{3}},{{m}_{3}},{{n}_{3}}$ are

Question

Accepted Answer

$\frac{{{l}_{1}}+{{l}_{2}}+{{l}_{3}}}{\sqrt{3}},\frac{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}{\sqrt{3}},\frac{{{n}_{1}}+{{n}_{2}}+{{n}_{3}}}{\sqrt{3}}$

Answer

${{l}_{1}}+{{l}_{2}}+{{l}_{3}},{{m}_{1}}+{{m}_{2}}+{{m}_{3}},{{n}_{1}}+{{n}_{2}}+{{n}_{3}}$

Answer

$\frac{{{l}_{1}}+{{l}_{2}}+{{l}_{3}}}{3},\frac{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}{3},\frac{{{n}_{1}}+{{n}_{2}}+{{n}_{3}}}{3}$

Answer

None of these

3-d

Question: The direction cosines of a line equally inclined to three mutually perpendicular lines having direction cosines as ${{l}_{1}},{{m}_{1}},{{n}_{1}};{{l}_{2}},{{m}_{2}},{{n}_{2}}$ and ${{l}_{3}},{{m}_{3}},{{n}_{3}}$ are

3-d

Question: The direction cosines of a line equally inclined to three mutually perpendicular lines having direction cosines as ${{l}_{1}},{{m}_{1}},{{n}_{1}};{{l}_{2}},{{m}_{2}},{{n}_{2}}$ and ${{l}_{3}},{{m}_{3}},{{n}_{3}}$ are

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