જો શ્રેણિક $A = \begin{bmatrix} 0 & a & a \\ 2b & b & -b \\ c & -c & c \end{bmatrix}$ લંબકોણીય (orthogonal) હોય, તો $a, b, c$ ની કિંમતો શોધો.

• A
  $a= \pm \frac{1}{\sqrt{2}}, b= \pm \frac{1}{\sqrt{6}}, c= \pm \frac{1}{\sqrt{2}}$
• B
  $a= \pm \frac{1}{\sqrt{2}}, b= \pm \frac{1}{\sqrt{6}}, c= \pm \frac{1}{\sqrt{3}}$
• C
  $a= \pm \frac{1}{\sqrt{3}}, b= \pm \frac{1}{\sqrt{6}}, c= \pm \frac{1}{\sqrt{2}}$
• D
  $a= \pm \frac{1}{\sqrt{3}}, b= \pm \frac{1}{\sqrt{3}}, c= \pm \frac{1}{\sqrt{3}}$