If the matrix \left(\begin{array}{ccc}0 & a & a \ 2 b & b & -b \ c & -c & c)\end{array} is orthogonal, then the values of a, b, c are

Correct Answer is : a=±1√2,b=±1√6,c=±1√3

a= \pm {1}/{\sqrt{3}}, b= \pm {1}/{\sqrt{6}}, c= \pm {1}/{\sqrt{2}}

a= \pm {1}/{\sqrt{2}}, b= \pm {1}/{\sqrt{6}}, c= \pm {1}/{\sqrt{3}}

a=- {1}/{\sqrt{2}}, b=- {1}/{\sqrt{6}}, c=- {1}/{\sqrt{3}}

a= {1}/{\sqrt{3}}, b= {1}/{\sqrt{6}}, c= {1}/{\sqrt{3}}

WBJEE 2025 Math Paper

Question : 12 of 75

Marks: +1, -0

If the matrix (

) is orthogonal, then the values of a,b,c are

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