1.1.2 Vector Algebra

Problem: 1. Find the dot product of vectors \( a=(\Gamma ; H ; 1 ; \Gamma ; 2) \) and \( b=(3 ; \Gamma ; 2 ; H ; 1) \). 2. Find the angle between vectors \( a=(1 ; H ; \Gamma ; 1 ; 2) \) and \( b=(2 ; H ; \Gamma ; 3 ; 1) \). 3. Find the cross product of vectors \( a=(1 ; H ; \Gamma) \) and \( b=(2 ; H ; \Gamma) \). Where \( \Gamma=2, H=2 \).