Question: Let B :={x Rn : ||x|| a) If a, b, c B and prove that v belongs to B. b) If a, b B, prove

Let B :={x ˆˆ Rn : ||x|| a) If a, b, c ˆˆ B and
Let B :={x ˆˆ Rn : ||x|| < 1}. a) If

prove that v belongs to B.
b) If a, b ˆˆ B, prove that

Let B :={x ˆˆ Rn : ||x|| < 1}. a) If

for all c, d ˆˆ Rn.
c) If a, b, c ˆˆ B and n = 3, prove that

Let B :={x ˆˆ Rn : ||x|| < 1}. a) If

(a b)c(a c)b(c b)a

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