If \stackrel{\^}{\bo {i}}+2 \stackrel{\^}{\bo {j}}+3 \stackrel{\^}{\bo {k}}, 3 \stackrel{\^}{\bo {i}}+2 \stackrel{\^}{\bo {j}}+\stackrel{\^}{\bo {k}} are sides of a parallelogram, then a unit vector is parallel to one of the diagonals of the parallelogram is

Correct Answer is : ^i+^j+^k√3

\stackrel{\^}{{\bo {i}}+\stackrel{\^}{\bo {j}}+\stackrel{\^}{\bo {k}}}/{\sqrt{3}}

\stackrel{\^}{{\bo {i}}-\stackrel{\^}{\bo {j}}+\stackrel{\^}{\bo {k}}}/{\sqrt{3}}

\stackrel{\^}{{\bo {i}}+\stackrel{\^}{\bo {j}}-\stackrel{\^}{\bo {k}}}/{\sqrt{3}}

\stackrel{\^}{-{\bo {i}}+\stackrel{\^}{\bo {j}}+\stackrel{\^}{\bo {k}}}/{\sqrt{3}}

EAMCET Engineering 2004 Solved Paper

Section: Mathematics

Question : 116 of 160

Marks: +1, -0

are sides of a parallelogram, then a unit vector is parallel to one of the diagonals of the parallelogram is

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