1. What is the difference between [2, 3] and {2, 3]? 2. Points A, B, and C lie on the circumference of a circle so that AB is a diameter. Use 1iiectcur methods to prove that ACE is a right angle. C 3. Is triangle ABC with points A(3,1) B(-2,3) C(5,6) a right angled triangle ? Prove it by using vectors 4. Prove that two non-zero vectors A and Bare orthogonal, or perpendicular, if and only if A. B= 0.5. Consider the vectors A = [7, 1, --2], B= [4, 3, 6], and C= [--1, 2, 4]. a) Find cross product of A and B b) Confirm that cross product of A and B is orthogonal to A= [7, 1, --2] and B = [4, 3, 6]