MathematicsMedium202×since 2002Q5859Consider three vectors a⃗,b⃗,c⃗\vec{a}, \vec{b}, \vec{c}a,b,c. Let ∣a⃗∣=2,∣b⃗∣=3|\vec{a}|=2,|\vec{b}|=3∣a∣=2,∣b∣=3 and a⃗=b⃗×c⃗\vec{a}=\vec{b} \times \vec{c}a=b×c. If α∈[0,π3]\alpha \in\left[0, \frac{\pi}{3}\right]α∈[0,3π] is the angle between the vectors b⃗\vec{b}b and c⃗\vec{c}c, then the minimum value of 27∣c⃗−a⃗∣227|\vec{c}-\vec{a}|^227∣c−a∣2 is equal to:A124B110C121D105Check answerSkip