Let →a,→b,→c are three unit vectors inclined with each other by an angle of π3. If →a=a1^i+a2^j+a3^k;→b=b1^i+b2^j+b3^k ; →c=c1^i+c2^j+c3^k and A be the matrix of order 3×3 such that adj(adj A)=⎡⎢⎣a1a2a3b1b2b3c1c2c3⎤⎥⎦ then |A|4=

Let →a,→b,→c are three unit vectors inclined with each other by

1.	Let →a,→b,→c are three unit vectors inclined with each other by an angle of π3. If →a=a1^i+a2^j+a3^k;→b=b1^i+b2^j+b3^k ; →c=c1^i+c2^j+c3^k and A be the matrix of order 3×3 such that adj(adj A)=⎡⎢⎣a1a2a3b1b2b3c1c2c3⎤⎥⎦ then \|A\|4=
Answer» Let $\to a, \to b, \to c$ are three unit vectors inclined with each other by an angle of $\frac{π}{3}$ . If $\to a = a_{1}^i + a_{2}^j + a_{3}^k; \to b = b_{1}^i + b_{2}^j + b_{3}^k; \to c = c_{1}^i + c_{2}^j + c_{3}^k$ and $A$ be the matrix of order $3 \times 3$ such that $a d j (a d j A) = ⎡ ⎢ ⎣ \begin{matrix} a_{1} & a_{2} & a_{3} b_{1} & b_{2} & b_{3} c_{1} & c_{2} & c_{3} \end{matrix} ⎤ ⎥ ⎦$ then $\| A \|^{4} =$