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# Question 1: Give examples of THREE vectors that are collinear and prove it. Question 2: Given vectors quot;aquot;=[1, -3, 6] and quot;bquot;=[4,...

**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