engineering recuitment AAI ATC Junior Executive 2025 Mock Test Series Mathematics Vector Algebra Magnitude and Directions of a Vector
Let \(\vec{\text{a}}\), \(\vec{\text{b}}\) and \(\vec{\text{c}}\) be unit vectors lying on the same plane. What is \(\{(3\vec{\text{a}} + 2\vec{\text{b}}) × (5\vec{\text{a}} − 4\vec{\text{c}})\}⋅(\vec{\text{b}} + 2\vec{\text{c}})\) equal to ?
1
−8
2
−32
3
8
4
0