Question 1: Give examples of THREE vectors that are collinear and prove it.

Question 2: Given vectors “a”=[1, -3, 6] and “b”=[4, -5, -2], find a vector “c” so that a*(bxc)=0. Explain what is the relationship between the vectors a, b, and c in this case, and why? Verify this.

Question 3: a, b, and c are vectors. Prove that a*(b+c)=a*b+a*c for all a, b, c ∈ R