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Let a, b, c be any real numbers. Supp...

Let a, b, c be any real numbers. Suppose that there are real numbers x, y, z not all zero such that `x""=""c y""+""b z ,""y""=""a z""+""c x""a n d""z""=""b x""+""a y` . Then `a^2+""b^2+""c^2+""2a b c` is equal to (1) 2 (2) `""1` (3) 0 (4) 1

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