Let →a=a1^i+α2^j+a3^k, →b=b1^i+b2^j+b3^k and →c=c1 ^i+c2 ^j+c3 ^k be three non-zero vectors such that →c is a unit vector perpendicular to both the vectors →a and →b. If the angle between →a and →b is π6,then ∣∣∣∣a1a2a3b1b2b3c1c2c3∣∣∣∣2 is equal to

Let →a=a1^i+α2^j+a3^k, →b=b1^i+b2^j+b3^k and →c=c1 ^i+c2 ^j+c3

1.	Let →a=a1^i+α2^j+a3^k, →b=b1^i+b2^j+b3^k and →c=c1 ^i+c2 ^j+c3 ^k be three non-zero vectors such that →c is a unit vector perpendicular to both the vectors →a and →b. If the angle between →a and →b is π6,then ∣∣∣∣a1a2a3b1b2b3c1c2c3∣∣∣∣2 is equal to
Answer» Let $\to a = a_{1}^i + α_{2}^j + a_{3}^k, \to b = b_{1}^i + b_{2}^j + b_{3}^k a n d \to c = c_{1}^i + c_{2}^j + c_{3}^k$ be three non-zero vectors such that $\to c$ is a unit vector perpendicular to both the vectors $\to a$ and $\to b$ . If the angle between $\to a$ and $\to b$ is $\frac{π}{6},$ then ${∣ ∣∣ ∣ \begin{matrix} a_{1} & a_{2} & a_{3} b_{1} & b_{2} & b_{3} c_{1} & c_{2} & c_{3} \end{matrix} ∣ ∣∣ ∣}^{2}$ is equal to