Let a, b Rm, b 0, and set (0 = a + tb. Show that

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Let a, b ∈ Rm, b ≠ 0, and set ɸ(0 = a + tb. Show that C = ɸ(R) is a smooth unbounded curve which contains a and a + b. Prove that the angle between ɸ(t1) - ɸ(0) and ɸ(t2) - ɸ(0) for any t1, t2 ≠ 0 is 0 or π.
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