defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Vector Algebra Properties of Vectors
Consider three vectors \(\rm \vec a, \vec b, \vec c\) Let \(\rm |\vec a|=2, |\vec b|=3\ and \ \vec a=\vec b\times \vec c.\ If\ \alpha\in\left[0,\frac{\pi}{3}\right]\) is the angle between the vectors \(\rm \vec b\ and \ \vec c\), then the minimum value of \(\rm 27|\vec c-\vec a|^2\) is equal to :
1
110
2
105
3
124
4
121