1. Prove that: (25p) [A (Bx C)] + [B( A)] + [C( B)] = 0 2....

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1. Prove that: (25p) [A (Bx C)] + [B( A)] + [C( B)] = 0 2. Three vectors A, B and C are given by: A = 3x-2+22 B=6x+4y-22 C=-3x-2-42 Compute the values of A. Bx C and A (B C) and C(A B) and Bx( A). (25p) 3. Show that a.(b+ c)= . b+. in two dimensions. (Warning! This exercise mostly includes geometry and trigonometry). (25p) 4. Use Gram-Schmidt orthonormalization to show that the three vectors 1, 3), (-1,1, -2) and (3, 1, 2) are linearly dependent. (25p) 1. Prove that: (25p) [A (Bx C)] + [B( A)] + [C( B)] = 0 2. Three vectors A, B and C are given by: A = 3x-2+22 B=6x+4y-22 C=-3x-2-42 Compute the values of A. Bx C and A (B C) and C(A B) and Bx( A). (25p) 3. Show that a.(b+ c)= . b+. in two dimensions. (Warning! This exercise mostly includes geometry and trigonometry). (25p) 4. Use Gram-Schmidt orthonormalization to show that the three vectors 1, 3), (-1,1, -2) and (3, 1, 2) are linearly dependent. (25p)