Let a = (1,2, 3), b = (1,0, 1) and c = (2, 1,3). (a)...

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Let a = (1,2, 3), b = (1,0, – 1) and c = (2, 1,3). (a) Verify that a (2 b+c) = 2 (a b) + (a c). (b) Find a non-zero vector of length 4 orthogonal to both a and c. Let a = (1,2, 3), b = (1,0, – 1) and c = (2, 1,3). (a) Verify that a (2 b+c) = 2 (a b) + (a c). (b) Find a non-zero vector of length 4 orthogonal to both a and c.